Download Geometry SIA #2 Practice Exam

Name: ________________________ Class: ___________________ Date: __________
Geometry SIA #2 Practice Exam
Short Answer
1. Justify the last two steps of the proof.
Given: RS  UT and RT  US
Prove: RST  UTS
Proof:
1. RS  UT
2. RT  US
3. ST  TS
4. RST  UTS
1. Given
2. Given
3. ?
4. ?
2. Name the angle included by the sides PN and NM .
1
ID: A
Name: ________________________
ID: A
3. What other information do you need in order to prove the triangles congruent using the SAS Congruence
Postulate?
4. State whether ABC and AED are congruent. Justify your answer.
5. Which triangles are congruent by ASA?
2
Name: ________________________
ID: A
6. Which two triangles are congruent by ASA?
AF bisects EC , and AED  FCD.
7. What is the missing reason in the two-column proof?




Given: MO bisects PMN and OM bisects PON
Prove: PMO  NMO
Statements
Reasons


1. MO bisects PMN
2. PMO  NMO
3. MO  MO
1. Given
2. Definition of angle bisector
3. Reflexive property


4. OM bisects PON
5. POM  NOM
6. PMO  NMO
4. Given
5. Definition of angle bisector
6. ?
3
Name: ________________________
ID: A
8. What is the value of x?
9. What is the value of x?
10. What is the value of x?
4
Name: ________________________
ID: A
11. Find the value of x. The diagram is not to scale.
Given: RS  ST , mRST  7x  54, mSTU  8x
12. Two sides of an equilateral triangle have lengths 2x  2 and 3x  6. Which could be the length of the third side:
10  x or 6x  5?
13. The legs of an isosceles triangle have lengths 2x  4 and x  8. The base has length 5x  2. What is the length
of the base?
14. Find the values of x and y.
15. In an A-frame house, the two congruent sides extend from the ground to form a 34° angle at the peak. What
angle does each side form with the ground?
16. Find the value of x. The diagram is not to scale.
5
Name: ________________________
ID: A
17. Find the sum of the measures of the angles of the figure.
18. What is the sum of the angle measures of a 36-gon?
19. The sum of the angle measures of a polygon with s sides is 2520. Find s.
20. What is the measure of one angle in a regular 25-gon?
21. A road sign is in the shape of a regular heptagon. What is the measure of each angle on the sign? Round to the
nearest tenth.
22. Find the missing values of the variables. The diagram is not to scale.
23. Find the value of x. The diagram is not to scale.
24. The sum of the measures of two exterior angles of a triangle is 255. What is the measure of the third exterior
angle?
6
Name: ________________________
ID: A
25. How many sides does a regular polygon have if each exterior angle measures 20?
26. This jewelry box has the shape of a regular pentagon. It is packaged in a rectangular box as shown here. The
box uses two pairs of congruent right triangles made of foam to fill its four corners. Find the measure of the
foam angle marked.
27. Use less than, equal to, or greater than to complete this statement: The measure of each exterior angle of a
regular 7-gon is ____ the measure of each exterior angle of a regular 5-gon.
28. Use less than, equal to, or greater than to complete this statement: The sum of the measures of the exterior
angles of a regular 5-gon, one at each vertex, is ____ the sum of the measures of the exterior angles of a
regular 9-gon, one at each vertex.
29. A nonregular hexagon has five exterior angle measures of 55, 60, 69, 57, and 57. What is the measure of the
interior angle adjacent to the sixth exterior angle?
30. Find the values of the variables in the parallelogram. The diagram is not to scale.
7
Name: ________________________
ID: A
31. In the parallelogram, mKLO  69 and mMLO  47. Find mKJM. The diagram is not to scale.
32. In the parallelogram, mQRP  46 and mPRS  50. Find mPQR. The diagram is not to scale.
33. ABCD is a parallelogram. If mCDA  66, then mBCD 
?
. The diagram is not to scale.
34. For the parallelogram, if m2  5x  28 and m4  3x  10, find m3. The diagram is not to scale.
8
Name: ________________________
ID: A
35. ABCD is a parallelogram. If mDAB  115, then mBCD 
? . The diagram is not to scale.
36. In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 4x – 5, and HE = 2y + 3. Find the values of x and y. The
diagram is not to scale.
37. Find AM in the parallelogram if PN =10 and AO = 5. The diagram is not to scale.
38. LMNO is a parallelogram. If NM = x + 15 and OL = 3x + 5, find the value of x and then find NM and OL.
9
Name: ________________________
ID: A
39. In the figure, the horizontal lines are parallel and AB  BC  CD. Find JM. The diagram is not to scale.
40. In the figure, the horizontal lines are parallel and AB  BC  CD. Find KL and FG. The diagram is not to
scale.
41. A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length
of the car to the length of the model?
1
1
42. The length of a rectangle is 6 inches and the width is 4 inches. What is the ratio, using whole numbers, of
2
4
the length to the width?
43. Red and grey bricks were used to build a decorative wall. The
5
number of red bricks
was . There were 175
2
number of grey bricks
bricks used in all. How many red bricks were used?
44. The measure of two complementary angles are in the ratio 1 : 4. What are the degree measures of the two
angles?
45. The ratio of length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 128 feet, what is the
length of the rectangle?
46. A salsa recipe uses green pepper, onion, and tomato in the extended ratio 1 : 3 : 9. How many cups of onion are
needed to make 117 cups of salsa?
10
Name: ________________________
ID: A
47. The measures of the angles of a triangle are in the extended ratio 3 : 5 : 7. What is the measure of the smallest
angle?
What is the solution of each proportion?
48.
49.
6
a

18
27
7 m

9 27
50. Given the proportion
a
8
a
 , what ratio completes the equivalent proportion 
8
b 15
?
Are the polygons similar? If they are, write a similarity statement and give the scale factor.
51.
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
52.
53. You want to draw an enlargement of a design that is printed on a card that is 4 in. by 5 in. You will be drawing
1
this design on an piece of paper that is 8 in. by 11 in. What are the dimensions of the largest complete
2
enlargement you can make?
11
Name: ________________________
ID: A
54. In a diagram of a landscape plan, the scale is 1 cm = 10 ft. In the diagram, the trees are 4.2 centimeters apart.
How far apart should the actual trees be planted?
55. In a scale drawing of the solar system, the scale is 1 mm = 500 km. For a planet with a diameter of 5000
kilometers, what should be the diameter of the drawing of the planet?
Find the geometric mean of the pair of numbers.
56. 6 and 10
57. 275 and 11
58. 36 and 4
What are the values of a and b?
59.
60.
Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale.
12
Name: ________________________
ID: A
61. Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line
formed between Kristen’s home and the football field at the exact point where an altitude to the right triangle
formed by her home, the park, and the football field could be drawn. The library is 2 miles from her home. The
football field is 5 miles from the library.
a.
b.
How far is library from the park?
How far is the park from the football field?
62. What is the value of x, given that PQ  BC ?
13
Name: ________________________
ID: A
63. Plots of land between two roads are laid out according to the boundaries shown. The boundaries between the
two roads are parallel. What is the length of Plot 3 along Cheshire Road?
64. What is the value of x to the nearest tenth?
65. An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A
second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the
triangle. Round answers to the nearest tenth of a centimeter.
Find the length of the missing side. The triangle is not drawn to scale.
66.
14
Name: ________________________
ID: A
67.
68. Triangle ABC has side lengths 9, 40, and 41. Do the side lengths form a Pythagorean triple? Explain.
Find the length of the missing side. Leave your answer in simplest radical form.
69.
70.
71. A grid shows the positions of a subway stop and your house. The subway stop is located at (–5, 2) and your
house is located at (–9, 9). What is the distance, to the nearest unit, between your house and the subway stop?
72. A triangle has sides of lengths 6, 8, and 10. Is it a right triangle? Explain.
73. A triangle has sides of lengths 24, 62, and 67. Is it a right triangle? Explain.
74. A triangle has side lengths of 14 cm, 48 cm, and 50 cm. Classify it as acute, obtuse, or right.
75. A triangle has side lengths of 28 in, 4 in, and 31 in. Classify it as acute, obtuse, or right.
15
Name: ________________________
ID: A
76. In triangle ABC, A is a right angle and mB  45. Find BC. If your answer is not an integer, leave it in
simplest radical form.
77. Find the length of the leg. If your answer is not an integer, leave it in simplest radical form.
78. Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to
the nearest tenth.
79. Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
80. The area of a square garden is 242 m2. How long is the diagonal?
16
Name: ________________________
ID: A
81. Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is
10 inches long. What is the side length of each piece?
82. The length of the hypotenuse of a 30°–60°–90° triangle is 4. Find the perimeter.
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
83.
84.
Not drawn to scale
85.
86. A piece of art is in the shape of an equilateral triangle with sides of 13 in. Find the area of the piece of art.
Round your answer to the nearest tenth.
87. A sign is in the shape of a rhombus with a 60° angle and sides of 9 cm long. Find its area to the nearest tenth.
88. A conveyor belt carries supplies from the first floor to the second floor, which is 24 feet higher. The belt makes
a 60° angle with the ground.
How far do the supplies travel from one end of the conveyor belt to the other? Round your answer to the nearest
foot.
If the belt moves at 75 ft/min, how long, to the nearest tenth of a minute, does it take the supplies to move to the
second floor?
17
Name: ________________________
ID: A
89. Find the missing value to the nearest hundredth.
90. Find the missing value to the nearest hundredth.
91. Find the missing value to the nearest hundredth.
92. Write the tangent ratios for Y and Z.
93. Write the tangent ratios for P and Q.
18
Name: ________________________
ID: A
94. Write the ratios for sin A and cos A.
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
95.
96.
Find the value of x. Round to the nearest tenth.
97.
19
Name: ________________________
ID: A
98.
99.
100.
101. Viola drives 170 meters up a hill that makes an angle of 6 with the horizontal. To the nearest tenth of a meter,
what horizontal distance has she covered?
Find the value of x. Round to the nearest degree.
102.
20
Name: ________________________
ID: A
103.
Find the value of x to the nearest degree.
104.
105.
What is the description of 2 as it relates to the situation shown?
Find the value of x. Round the length to the nearest tenth.
106.
21
Name: ________________________
ID: A
107.
108.
109.
110.
22
Name: ________________________
ID: A
111. To approach the runway, a pilot of a small plane must begin a 9 descent starting from a height of 1125 feet
above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of
this approach?
Find the area. The figure is not drawn to scale.
112.
113.
114.
23
Name: ________________________
ID: A
115.
116. The area of a parallelogram is 420 cm2 and the height is 35 cm. Find the corresponding base.
117. Find the area of a polygon with the vertices of (–4, 5), (–1, 5), (4, –3), and (–4, –3).
Find the area of the trapezoid. Leave your answer in simplest radical form.
118.
119.
120.
24
Name: ________________________
ID: A
121. What is the area of the kite?
122. A kite has diagonals 9.2 ft and 8 ft. What is the area of the kite?
123. Find the area of the rhombus. Leave your answer in simplest radical form.
124. Find the area of the rhombus.
25
Name: ________________________
ID: A
The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the
second. The figures are not drawn to scale.
125.
126. The widths of two similar rectangles are 16 cm and 14 cm. What is the ratio of the perimeters? Of the areas?
127. The area of a regular octagon is 35 cm 2 . What is the area of a regular octagon with sides three times as long?
128. The triangles are similar. The area of the larger triangle is 1589 ft 2 . Find the area of the smaller triangle to the
nearest whole number.
129. Find the similarity ratio and the ratio of perimeters for two regular pentagons with areas of 49 cm2 and
169 cm2 .
Find the area of the circle. Leave your answer in terms of  .
130.
26
Name: ________________________
ID: A
131.
132. A team in science class placed a chalk mark on the side of a wheel and rolled the wheel in a straight line until
the chalk mark returned to the same position. The team then measured the distance the wheel had rolled and
found it to be 35 cm. To the nearest tenth, what is the area of the wheel?
133. Find the area of the figure to the nearest tenth.
134. Find the area of a sector with a central angle of 180° and a diameter of 5.6 cm. Round to the nearest tenth.
135. The area of sector AOB is 20.25 ft 2 . Find the exact area of the shaded region.
27
Name: ________________________
ID: A
136. A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the
boxes. Find the lateral area and the surface area of the box to the nearest whole number.
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the
nearest whole number.
137.
138.
28
Name: ________________________
ID: A
Find the surface area of the cylinder in terms of  .
139.
140.
141. Find the surface area of the cylinder to the nearest whole number.
142. The radius of the base of a cylinder is 39 in. and its height is 33 in.. Find the surface area of the cylinder in
terms of  .
29
Name: ________________________
ID: A
Find the surface area of the pyramid shown to the nearest whole number.
143.
144.
145. Find the slant height x of the pyramid shown, to the nearest tenth.
30
Name: ________________________
ID: A
146. Find the slant height of the cone to the nearest whole number.
Find the volume of the given prism. Round to the nearest tenth if necessary.
147.
148.
149.
31
Name: ________________________
ID: A
Find the volume of the cylinder in terms of  .
150.
151.
Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
152.
32
Name: ________________________
ID: A
153.
154. Find the volume of a square pyramid with base edges of 48 cm and a slant height of 26 cm.
Find the volume of the cone shown as a decimal rounded to the nearest tenth.
155.
156.
33
Name: ________________________
ID: A
157. Find the volume of the oblique cone shown. Round to the nearest tenth.
158. Find the volume of the oblique cone shown in terms of  .
Find the surface area of the sphere with the given dimension. Leave your answer in terms of  .
159. radius of 60 m
160. diameter of 14 cm
161. Find the surface area of a sphere with a circumference of 13 mm. Round to the nearest tenth.
162. A balloon has a circumference of 11 cm. Use the circumference to approximate the surface area of the balloon
to the nearest square centimeter.
34
Name: ________________________
ID: A
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
163.
164.
165. The volume of a sphere is 5000 m 3 . What is the surface area of the sphere to the nearest square meter?
166. The volume of a sphere is 1928 m 3 . What is the surface area of the sphere to the nearest tenth?
Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
167.
35
Name: ________________________
ID: A
168.
169.
170. Find the similarity ratio of a prism with the surface area of 81 m 2 to a similar prism with the surface area of
361 m2 .
171. Find the similarity ratio of a cube with volume 216 ft 3 to a cube with volume 1000 ft 3 .
172. If the scale factor of two similar solids is 3 : 14, what is the ratio of their corresponding areas? What is the
ratio of their corresponding volumes?
173. A glass vase weighs 0.22 lb. How much does a similarly shaped vase of the same glass weigh if each dimension
is 6 times as large?
174. The surface areas of two similar solids are 384 yd 2 and 1057 yd2 . The volume of the larger solid is 1795 yd 3 .
What is the volume of the smaller solid?
36
ID: A
Geometry SIA #2 Practice Exam
Answer Section
SHORT ANSWER
1. ANS:
Reflexive Property of  ; SSS
PTS:
OBJ:
STA:
KEY:
2. ANS:
N
1
DIF: L3
REF: 4-2 Triangle Congruence by SSS and SAS
4-2.1 Prove two triangles congruent using the SSS and SAS Postulates
MA.912.G.4.3| MA.912.G.4.6
TOP: 4-2 Problem 1 Using SSS
SSS | reflexive property | proof
DOK: DOK 2
PTS: 1
DIF: L2
REF: 4-2 Triangle Congruence by SSS and SAS
OBJ: 4-2.1 Prove two triangles congruent using the SSS and SAS Postulates
STA: MA.912.G.4.3| MA.912.G.4.6
TOP: 4-2 Problem 2 Using SAS
KEY: angle
DOK: DOK 1
3. ANS:
AC  BD
PTS: 1
DIF: L4
REF: 4-2 Triangle Congruence by SSS and SAS
OBJ: 4-2.1 Prove two triangles congruent using the SSS and SAS Postulates
STA: MA.912.G.4.3| MA.912.G.4.6
TOP: 4-2 Problem 2 Using SAS
KEY: SAS | reasoning
DOK: DOK 2
4. ANS:
yes, by either SSS or SAS
PTS: 1
DIF: L3
REF: 4-2 Triangle Congruence by SSS and SAS
OBJ: 4-2.1 Prove two triangles congruent using the SSS and SAS Postulates
STA: MA.912.G.4.3| MA.912.G.4.6
TOP: 4-2 Problem 3 Identifying Congruent Triangles
KEY: SSS | SAS | reasoning
DOK: DOK 2
5. ANS:
VTU and ABC
PTS: 1
DIF: L2
REF: 4-3 Triangle Congruence by ASA and AAS
OBJ: 4-3.1 Prove two triangles congruent using the ASA Postulate and the AAS Theorem
STA: MA.912.G.4.3| MA.912.G.4.6| MA.912.G.8.5
TOP: 4-3 Problem 1 Using ASA
KEY: ASA
DOK: DOK 1
6. ANS:
ADE and FDC
PTS:
OBJ:
STA:
KEY:
1
DIF: L4
REF: 4-3 Triangle Congruence by ASA and AAS
4-3.1 Prove two triangles congruent using the ASA Postulate and the AAS Theorem
MA.912.G.4.3| MA.912.G.4.6| MA.912.G.8.5
TOP: 4-3 Problem 1 Using ASA
ASA | vertical angles
DOK: DOK 2
1
ID: A
7. ANS:
ASA Postulate
PTS:
OBJ:
STA:
TOP:
DOK:
8. ANS:
71°
1
DIF: L3
REF: 4-3 Triangle Congruence by ASA and AAS
4-3.1 Prove two triangles congruent using the ASA Postulate and the AAS Theorem
MA.912.G.4.3| MA.912.G.4.6| MA.912.G.8.5
4-3 Problem 2 Writing a Proof Using ASA
KEY: ASA | proof
DOK 2
PTS:
OBJ:
STA:
KEY:
DOK:
9. ANS:
68°
1
DIF: L2
REF: 4-5 Isosceles and Equilateral Triangles
4-5.1 Use and apply properties of isosceles and equilateral triangles
MA.912.G.4.1
TOP: 4-5 Problem 2 Using Algebra
isosceles triangle | Converse of Isosceles Triangle Theorem | Triangle Angle-Sum Theorem
DOK 2
PTS: 1
DIF: L2
REF: 4-5 Isosceles and Equilateral Triangles
OBJ: 4-5.1 Use and apply properties of isosceles and equilateral triangles
STA: MA.912.G.4.1
TOP: 4-5 Problem 2 Using Algebra
KEY: isosceles triangle | Isosceles Triangle Theorem | Triangle Angle-Sum Theorem | word problem
DOK: DOK 2
10. ANS:
43.25°
PTS:
OBJ:
STA:
KEY:
DOK:
11. ANS:
14
1
DIF: L3
REF: 4-5 Isosceles and Equilateral Triangles
4-5.1 Use and apply properties of isosceles and equilateral triangles
MA.912.G.4.1
TOP: 4-5 Problem 2 Using Algebra
Isosceles Triangle Theorem | Triangle Angle-Sum Theorem | isosceles triangle
DOK 2
PTS: 1
DIF: L4
REF: 4-5 Isosceles and Equilateral Triangles
OBJ: 4-5.1 Use and apply properties of isosceles and equilateral triangles
STA: MA.912.G.4.1
TOP: 4-5 Problem 2 Using Algebra
KEY: Isosceles Triangle Theorem | isosceles triangle | problem solving | Triangle Angle-Sum Theorem
DOK: DOK 2
12. ANS:
10 – x only
PTS:
OBJ:
STA:
KEY:
1
DIF: L4
REF: 4-5 Isosceles and Equilateral Triangles
4-5.1 Use and apply properties of isosceles and equilateral triangles
MA.912.G.4.1
TOP: 4-5 Problem 2 Using Algebra
equilateral triangle | word problem | problem solving
DOK: DOK 3
2
ID: A
13. ANS:
18
PTS: 1
DIF: L4
REF: 4-5 Isosceles and Equilateral Triangles
OBJ: 4-5.1 Use and apply properties of isosceles and equilateral triangles
STA: MA.912.G.4.1
TOP: 4-5 Problem 2 Using Algebra
KEY: isosceles triangle | Isosceles Triangle Theorem | word problem | problem solving
DOK: DOK 3
14. ANS:
x  90, y  43
PTS:
OBJ:
STA:
KEY:
15. ANS:
73
1
DIF: L3
REF: 4-5 Isosceles and Equilateral Triangles
4-5.1 Use and apply properties of isosceles and equilateral triangles
MA.912.G.4.1
TOP: 4-5 Problem 2 Using Algebra
angle bisector | isosceles triangle
DOK: DOK 2
PTS: 1
DIF: L2
REF: 4-5 Isosceles and Equilateral Triangles
OBJ: 4-5.1 Use and apply properties of isosceles and equilateral triangles
STA: MA.912.G.4.1
TOP: 4-5 Problem 3 Finding Angle Measures
KEY: Isosceles Triangle Theorem | isosceles triangle | Triangle Angle-Sum Theorem | word problem | problem
solving DOK:
DOK 2
16. ANS:
x  23
PTS:
OBJ:
STA:
KEY:
17. ANS:
900
1
DIF: L4
REF: 4-5 Isosceles and Equilateral Triangles
4-5.1 Use and apply properties of isosceles and equilateral triangles
MA.912.G.4.1
TOP: 4-5 Problem 3 Finding Angle Measures
Isosceles Triangle Theorem | isosceles triangle
DOK: DOK 2
PTS:
OBJ:
STA:
KEY:
18. ANS:
6120
1
DIF: L2
REF: 6-1 The Polygon Angle-Sum Theorems
6-1.1 Find the sum of the measures of the interior angles of a polygon
MA.912.G.2.1| MA.912.G.2.2
TOP: 6-1 Problem 1 Finding a Polygon Angle Sum
sum of angles of a polygon
DOK: DOK 1
PTS:
OBJ:
STA:
KEY:
1
DIF: L3
REF: 6-1 The Polygon Angle-Sum Theorems
6-1.1 Find the sum of the measures of the interior angles of a polygon
MA.912.G.2.1| MA.912.G.2.2
TOP: 6-1 Problem 1 Finding a Polygon Angle Sum
sum of angles of a polygon
DOK: DOK 1
3
ID: A
19. ANS:
16
PTS:
OBJ:
STA:
KEY:
20. ANS:
165.6
1
DIF: L3
REF: 6-1 The Polygon Angle-Sum Theorems
6-1.1 Find the sum of the measures of the interior angles of a polygon
MA.912.G.2.1| MA.912.G.2.2
TOP: 6-1 Problem 1 Finding a Polygon Angle Sum
sum of angles of a polygon
DOK: DOK 2
PTS: 1
DIF: L3
REF: 6-1 The Polygon Angle-Sum Theorems
OBJ: 6-1.1 Find the sum of the measures of the interior angles of a polygon
STA: MA.912.G.2.1| MA.912.G.2.2
TOP: 6-1 Problem 2 Using the Polygon Angle-Sum
KEY: sum of angles of a polygon | equilateral | Corollary to the Polygon Angle-Sum Theorem | regular
polygon
DOK: DOK 2
21. ANS:
128.6
PTS: 1
DIF: L3
REF: 6-1 The Polygon Angle-Sum Theorems
OBJ: 6-1.1 Find the sum of the measures of the interior angles of a polygon
STA: MA.912.G.2.1| MA.912.G.2.2
TOP: 6-1 Problem 2 Using the Polygon Angle-Sum
KEY: sum of angles of a polygon | equilateral | Corollary to the Polygon Angle-Sum Theorem | regular
polygon
DOK: DOK 2
22. ANS:
x = 114, y = 56
PTS:
OBJ:
STA:
KEY:
23. ANS:
45
1
DIF: L3
REF: 6-1 The Polygon Angle-Sum Theorems
6-1.1 Find the sum of the measures of the interior angles of a polygon
MA.912.G.2.1| MA.912.G.2.2
TOP: 6-1 Problem 3 Using the Polygon Angle-Sum Theorem
exterior angle | Polygon Angle-Sum Theorem
DOK: DOK 2
PTS:
OBJ:
STA:
KEY:
24. ANS:
105
1
DIF: L4
REF: 6-1 The Polygon Angle-Sum Theorems
6-1.1 Find the sum of the measures of the interior angles of a polygon
MA.912.G.2.1| MA.912.G.2.2
TOP: 6-1 Problem 3 Using the Polygon Angle-Sum Theorem
Polygon Angle-Sum Theorem
DOK: DOK 2
PTS:
OBJ:
STA:
KEY:
DOK:
1
DIF: L3
REF: 6-1 The Polygon Angle-Sum Theorems
6-1.2 Find the sum of the measures of the exterior angles of a polygon
MA.912.G.2.1| MA.912.G.2.2
TOP: 6-1 Problem 4 Finding an Exterior Angle Measure
angle | triangle | exterior angle | Polygon Angle-Sum Theorem
DOK 2
4
ID: A
25. ANS:
18 sides
PTS:
OBJ:
STA:
KEY:
26. ANS:
36°
1
DIF: L3
REF: 6-1 The Polygon Angle-Sum Theorems
6-1.2 Find the sum of the measures of the exterior angles of a polygon
MA.912.G.2.1| MA.912.G.2.2
TOP: 6-1 Problem 4 Finding an Exterior Angle Measure
sum of angles of a polygon
DOK: DOK 2
PTS: 1
DIF: L4
REF: 6-1 The Polygon Angle-Sum Theorems
OBJ: 6-1.2 Find the sum of the measures of the exterior angles of a polygon
STA: MA.912.G.2.1| MA.912.G.2.2
TOP: 6-1 Problem 4 Finding an Exterior Angle Measure
KEY: angle | pentagon | Polygon Angle-Sum Theorem
DOK: DOK 2
27. ANS:
less than
PTS: 1
DIF: L4
REF: 6-1 The Polygon Angle-Sum Theorems
OBJ: 6-1.2 Find the sum of the measures of the exterior angles of a polygon
STA: MA.912.G.2.1| MA.912.G.2.2
TOP: 6-1 Problem 4 Finding an Exterior Angle Measure
KEY: sum of angles of a polygon
DOK: DOK 2
28. ANS:
equal to
PTS:
OBJ:
STA:
KEY:
29. ANS:
118
1
DIF: L3
REF: 6-1 The Polygon Angle-Sum Theorems
6-1.2 Find the sum of the measures of the exterior angles of a polygon
MA.912.G.2.1| MA.912.G.2.2
TOP: 6-1 Problem 4 Finding an Exterior Angle Measure
sum of angles of a polygon
DOK: DOK 2
PTS: 1
DIF: L4
REF: 6-1 The Polygon Angle-Sum Theorems
OBJ: 6-1.2 Find the sum of the measures of the exterior angles of a polygon
STA: MA.912.G.2.1| MA.912.G.2.2
TOP: 6-1 Problem 4 Finding an Exterior Angle Measure
KEY: hexagon | angle | exterior angle
DOK: DOK 2
30. ANS:
x  29, y  49, z  102
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
1
DIF: L4
REF: 6-2 Properties of Parallelograms
6-2.1 Use relationships among sides and angles of parallelograms
MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5
6-2 Problem 1 Using Consecutive Angles
parallelogram | opposite angles | consecutive angles | transversal
DOK 2
5
ID: A
31. ANS:
116
PTS:
OBJ:
STA:
TOP:
DOK:
32. ANS:
84
1
DIF: L4
REF: 6-2 Properties of Parallelograms
6-2.1 Use relationships among sides and angles of parallelograms
MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5
6-2 Problem 1 Using Consecutive Angles
KEY: parallelogram | angles
DOK 2
PTS:
OBJ:
STA:
TOP:
DOK:
33. ANS:
114
1
DIF: L4
REF: 6-2 Properties of Parallelograms
6-2.1 Use relationships among sides and angles of parallelograms
MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5
6-2 Problem 1 Using Consecutive Angles
KEY: parallelogram | angles
DOK 2
PTS:
OBJ:
STA:
TOP:
DOK:
34. ANS:
163
1
DIF: L2
REF: 6-2 Properties of Parallelograms
6-2.1 Use relationships among sides and angles of parallelograms
MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5
6-2 Problem 1 Using Consecutive Angles
KEY: parallelogram | consecutive angles
DOK 1
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
35. ANS:
115
1
DIF: L4
REF: 6-2 Properties of Parallelograms
6-2.1 Use relationships among sides and angles of parallelograms
MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5
6-2 Problem 1 Using Consecutive Angles
algebra | parallelogram | opposite angles | consecutive angles
DOK 2
PTS:
OBJ:
STA:
TOP:
DOK:
1
DIF: L2
REF: 6-2 Properties of Parallelograms
6-2.1 Use relationships among sides and angles of parallelograms
MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5
6-2 Problem 1 Using Consecutive Angles
KEY: parallelogram | opposite angles
DOK 1
6
ID: A
36. ANS:
x = 3, y = 2
PTS:
OBJ:
STA:
TOP:
KEY:
37. ANS:
5
1
DIF: L3
REF: 6-2 Properties of Parallelograms
6-2.2 Use relationships among diagonals of parallelograms
MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5
6-2 Problem 3 Using Algebra to Find Lengths
transversal | diagonal | parallelogram | algebra
DOK: DOK 2
PTS: 1
DIF: L2
REF: 6-2 Properties of Parallelograms
OBJ: 6-2.2 Use relationships among diagonals of parallelograms
STA: MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5
TOP: 6-2 Problem 3 Using Algebra to Find Lengths
KEY: parallelogram | diagonal
DOK: DOK 1
38. ANS:
x = 5, NM = 20, OL = 20
PTS:
OBJ:
STA:
TOP:
DOK:
39. ANS:
24
1
DIF: L2
REF: 6-2 Properties of Parallelograms
6-2.1 Use relationships among sides and angles of parallelograms
MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5
6-2 Problem 3 Using Algebra to Find Lengths
KEY: parallelogram | algebra
DOK 2
PTS: 1
DIF: L3
REF: 6-2 Properties of Parallelograms
OBJ: 6-2.1 Use relationships among sides and angles of parallelograms
STA: MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5
TOP: 6-2 Problem 4 Using Parallel Lines and Transversals
KEY: transversal | parallel lines
DOK: DOK 2
40. ANS:
KL = 7.6, FG = 5.1
PTS:
OBJ:
STA:
TOP:
DOK:
41. ANS:
18 : 1
1
DIF: L2
REF: 6-2 Properties of Parallelograms
6-2.1 Use relationships among sides and angles of parallelograms
MA.912.G.3.1| MA.912.G.3.2| MA.912.G.3.4| MA.912.G.4.5
6-2 Problem 4 Using Parallel Lines and Transversals
KEY: parallel lines | transversal
DOK 1
PTS: 1
DIF: L3
REF: 7-1 Ratios and Proportions
OBJ: 7-1.1 Write ratios and solve proportions
TOP: 7-1 Problem 1 Writing a Ratio
KEY: ratio | word problem
DOK: DOK 2
7
ID: A
42. ANS:
26 : 17
PTS: 1
DIF: L3
REF: 7-1 Ratios and Proportions
OBJ: 7-1.1 Write ratios and solve proportions
TOP: 7-1 Problem 1 Writing a Ratio
KEY: ratio
DOK: DOK 2
43. ANS:
125
PTS: 1
DIF: L3
REF: 7-1 Ratios and Proportions
OBJ: 7-1.1 Write ratios and solve proportions
TOP: 7-1 Problem 2 Dividing a Quantity into a Given Ratio
KEY: ratio | word problem
DOK: DOK 2
44. ANS:
18° and 72°
PTS: 1
DIF: L3
REF: 7-1 Ratios and Proportions
OBJ: 7-1.1 Write ratios and solve proportions
TOP: 7-1 Problem 2 Dividing a Quantity into a Given Ratio
KEY: ratio
DOK: DOK 2
45. ANS:
48 feet
PTS:
OBJ:
TOP:
DOK:
46. ANS:
27
1
DIF: L3
REF: 7-1 Ratios and Proportions
7-1.1 Write ratios and solve proportions
7-1 Problem 2 Dividing a Quantity into a Given Ratio
KEY: ratio | perimeter
DOK 2
PTS:
OBJ:
TOP:
DOK:
47. ANS:
36
1
DIF: L3
REF: 7-1 Ratios and Proportions
7-1.1 Write ratios and solve proportions
7-1 Problem 3 Using an Extended Ratio
KEY: ratio | extended ratio | word problem
DOK 2
PTS:
OBJ:
TOP:
KEY:
48. ANS:
9
1
DIF: L3
REF: 7-1 Ratios and Proportions
7-1.1 Write ratios and solve proportions
7-1 Problem 3 Using an Extended Ratio
ratio | extended ratio | interior angles of a triangle
DOK: DOK 2
PTS: 1
DIF: L3
REF: 7-1 Ratios and Proportions
OBJ: 7-1.1 Write ratios and solve proportions
TOP: 7-1 Problem 4 Solving a Proportion
KEY: proportion | Cross-Product Property
DOK: DOK 1
8
ID: A
49. ANS:
21
PTS: 1
DIF: L2
REF: 7-1 Ratios and Proportions
OBJ: 7-1.1 Write ratios and solve proportions
TOP: 7-1 Problem 4 Solving a Proportion
KEY: proportion | Cross-Product Property
DOK: DOK 1
50. ANS:
b
15
PTS: 1
DIF: L2
REF: 7-1 Ratios and Proportions
OBJ: 7-1.1 Write ratios and solve proportions
TOP: 7-1 Problem 5 Writing Equivalent Proportions
KEY: proportion | Properties of Proportions | equivalent proportions
DOK: DOK 2
51. ANS:
The polygons are not similar.
PTS:
OBJ:
TOP:
DOK:
52. ANS:
29.5
1
DIF: L4
REF: 7-2 Similar Polygons
7-2.1 Identify and apply similar polygons
STA: MA.912.G.2.3
7-2 Problem 2 Determining Similarity
KEY: similar polygons
DOK 2
PTS: 1
DIF: L3
REF: 7-2 Similar Polygons
OBJ: 7-2.1 Identify and apply similar polygons
STA: MA.912.G.2.3
TOP: 7-2 Problem 3 Using Similar Polygons
KEY: corresponding sides | proportion
DOK: DOK 2
53. ANS:
1
5
8 in. by 10 in.
8
2
PTS: 1
DIF: L4
REF: 7-2 Similar Polygons
OBJ: 7-2.1 Identify and apply similar polygons
STA: MA.912.G.2.3
TOP: 7-2 Problem 4 Using Similarity
KEY: similar polygons | word problem
DOK: DOK 2
54. ANS:
42 feet
PTS:
OBJ:
TOP:
KEY:
1
DIF: L3
REF: 7-2 Similar Polygons
7-2.1 Identify and apply similar polygons
STA: MA.912.G.2.3
7-2 Problem 5 Use a Scale Drawing
scale drawing | proportions | word problem
DOK: DOK 2
9
ID: A
55. ANS:
10 millimeters
PTS:
OBJ:
TOP:
KEY:
56. ANS:
2 15
1
DIF: L3
REF: 7-2 Similar Polygons
7-2.1 Identify and apply similar polygons
STA: MA.912.G.2.3
7-2 Problem 5 Use a Scale Drawing
scale drawing | proportions | word problem
DOK: DOK 2
PTS:
OBJ:
STA:
TOP:
DOK:
57. ANS:
55
1
DIF: L4
REF: 7-4 Similarity in Right Triangles
7-4.1 Find and use relationships in similar triangles
MA.912.G.2.3| MA.912.G.4.6| MA.912.G.5.2| MA.912.G.5.4| MA.912.G.8.3
7-4 Problem 2 Finding the Geometric Mean
KEY: geometric mean | proportion
DOK 2
PTS:
OBJ:
STA:
TOP:
DOK:
58. ANS:
12
1
DIF: L3
REF: 7-4 Similarity in Right Triangles
7-4.1 Find and use relationships in similar triangles
MA.912.G.2.3| MA.912.G.4.6| MA.912.G.5.2| MA.912.G.5.4| MA.912.G.8.3
7-4 Problem 2 Finding the Geometric Mean
KEY: geometric mean | proportion
DOK 2
PTS: 1
DIF: L2
REF: 7-4 Similarity in Right Triangles
OBJ: 7-4.1 Find and use relationships in similar triangles
STA: MA.912.G.2.3| MA.912.G.4.6| MA.912.G.5.2| MA.912.G.5.4| MA.912.G.8.3
TOP: 7-4 Problem 2 Finding the Geometric Mean
KEY: geometric mean | proportion
DOK: DOK 2
59. ANS:
a = 8, b = 2 17
PTS:
OBJ:
STA:
TOP:
KEY:
60. ANS:
7 3
1
DIF: L3
REF: 7-4 Similarity in Right Triangles
7-4.1 Find and use relationships in similar triangles
MA.912.G.2.3| MA.912.G.4.6| MA.912.G.5.2| MA.912.G.5.4| MA.912.G.8.3
7-4 Problem 3 Using the Corollaries
corollaries of the geometric mean | proportion
DOK: DOK 2
PTS:
OBJ:
STA:
TOP:
KEY:
1
DIF: L3
REF: 7-4 Similarity in Right Triangles
7-4.1 Find and use relationships in similar triangles
MA.912.G.2.3| MA.912.G.4.6| MA.912.G.5.2| MA.912.G.5.4| MA.912.G.8.3
7-4 Problem 3 Using the Corollaries
corollaries of the geometric mean | proportion
DOK: DOK 2
10
ID: A
61. ANS:
10 miles;
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
62. ANS:
6
35 miles
1
DIF: L4
REF: 7-4 Similarity in Right Triangles
7-4.1 Find and use relationships in similar triangles
MA.912.G.2.3| MA.912.G.4.6| MA.912.G.5.2| MA.912.G.5.4| MA.912.G.8.3
7-4 Problem 4 Finding a Distance
corollaries of the geometric mean | multi-part question | word problem
DOK 2
PTS: 1
DIF: L2
REF: 7-5 Proportions in Triangles
OBJ: 7-5.1 Use the Side-Splitter Theorem and the Triangles Angle-Bisector Theorem
STA: MA.912.G.2.3| MA.912.G.4.5| MA.912.G.4.6
TOP: 7-5 Problem 1 Using the Side-Splitter Theorem
KEY: Side-Splitter Theorem
DOK: DOK 2
63. ANS:
2
46 yards
3
PTS:
OBJ:
STA:
KEY:
64. ANS:
14.4
1
DIF: L3
REF: 7-5 Proportions in Triangles
7-5.1 Use the Side-Splitter Theorem and the Triangles Angle-Bisector Theorem
MA.912.G.2.3| MA.912.G.4.5| MA.912.G.4.6
TOP: 7-5 Problem 2 Finding a Length
corollary of Side-Splitter Theorem | word problem
DOK: DOK 2
PTS: 1
DIF: L3
REF: 7-5 Proportions in Triangles
OBJ: 7-5.1 Use the Side-Splitter Theorem and the Triangles Angle-Bisector Theorem
STA: MA.912.G.2.3| MA.912.G.4.5| MA.912.G.4.6
TOP: 7-5 Problem 3 Using the Triangle-Angle-Bisector Theorem
KEY: Triangle-Angle-Bisector Theorem DOK: DOK 2
65. ANS:
8.3 cm, 5.8 cm
PTS:
OBJ:
STA:
TOP:
KEY:
1
DIF: L4
REF: 7-5 Proportions in Triangles
7-5.1 Use the Side-Splitter Theorem and the Triangles Angle-Bisector Theorem
MA.912.G.2.3| MA.912.G.4.5| MA.912.G.4.6
7-5 Problem 3 Using the Triangle-Angle-Bisector Theorem
Triangle-Angle-Bisector Theorem DOK: DOK 3
11
ID: A
66. ANS:
10
PTS:
OBJ:
STA:
TOP:
KEY:
67. ANS:
7
1
DIF: L2
REF: 8-1 The Pythagorean Theorem and Its Converse
8-1.1 Use the Pythagorean Theorem and its converse
MA.912.G.5.1| MA.912.G.5.4| MA.912.G.8.3
8-1 Problem 1 Finding the Length of the Hypotenuse
Pythagorean Theorem | leg | hypotenuse
DOK: DOK 1
PTS: 1
DIF: L3
REF: 8-1 The Pythagorean Theorem and Its Converse
OBJ: 8-1.1 Use the Pythagorean Theorem and its converse
STA: MA.912.G.5.1| MA.912.G.5.4| MA.912.G.8.3
TOP: 8-1 Problem 2 Finding the Length of a Leg
KEY: Pythagorean Theorem | leg | hypotenuse
DOK: DOK 1
68. ANS:
Yes, they form a Pythagorean triple; 9 2  40 2  41 2 and 9, 40, and 41 are all nonzero whole numbers.
PTS:
OBJ:
STA:
TOP:
KEY:
69. ANS:
113
PTS:
OBJ:
STA:
TOP:
KEY:
70. ANS:
203
PTS:
OBJ:
STA:
TOP:
KEY:
1
DIF: L3
REF: 8-1 The Pythagorean Theorem and Its Converse
8-1.1 Use the Pythagorean Theorem and its converse
MA.912.G.5.1| MA.912.G.5.4| MA.912.G.8.3
8-1 Problem 1 Finding the Length of the Hypotenuse
Pythagorean Theorem | leg | hypotenuse
DOK: DOK 1
m
1
DIF: L3
REF: 8-1 The Pythagorean Theorem and Its Converse
8-1.1 Use the Pythagorean Theorem and its converse
MA.912.G.5.1| MA.912.G.5.4| MA.912.G.8.3
8-1 Problem 1 Finding the Length of the Hypotenuse
Pythagorean Theorem | leg | hypotenuse
DOK: DOK 1
m
1
DIF: L3
REF: 8-1 The Pythagorean Theorem and Its Converse
8-1.1 Use the Pythagorean Theorem and its converse
MA.912.G.5.1| MA.912.G.5.4| MA.912.G.8.3
8-1 Problem 2 Finding the Length of a Leg
Pythagorean Theorem | leg | hypotenuse
DOK: DOK 1
12
ID: A
71. ANS:
8
PTS: 1
DIF: L3
REF: 8-1 The Pythagorean Theorem and Its Converse
OBJ: 8-1.1 Use the Pythagorean Theorem and its converse
STA: MA.912.G.5.1| MA.912.G.5.4| MA.912.G.8.3
TOP: 8-1 Problem 3 Finding Distance
KEY: Pythagorean Theorem | leg | hypotenuse | word problem | problem solving
DOK: DOK 2
72. ANS:
yes; 6 2  8 2  10 2
PTS: 1
DIF: L3
REF: 8-1 The Pythagorean Theorem and Its Converse
OBJ: 8-1.1 Use the Pythagorean Theorem and its converse
STA: MA.912.G.5.1| MA.912.G.5.4| MA.912.G.8.3
TOP: 8-1 Problem 4 Identifying a Right Triangle
KEY: Pythagorean Theorem | Pythagorean triple
DOK: DOK 1
73. ANS:
no; 24 2  62 2  67 2
PTS:
OBJ:
STA:
TOP:
KEY:
74. ANS:
right
1
DIF: L3
REF: 8-1 The Pythagorean Theorem and Its Converse
8-1.1 Use the Pythagorean Theorem and its converse
MA.912.G.5.1| MA.912.G.5.4| MA.912.G.8.3
8-1 Problem 4 Identifying a Right Triangle
Pythagorean Theorem | Pythagorean triple
DOK: DOK 1
PTS:
OBJ:
STA:
TOP:
KEY:
75. ANS:
obtuse
1
DIF: L3
REF: 8-1 The Pythagorean Theorem and Its Converse
8-1.1 Use the Pythagorean Theorem and its converse
MA.912.G.5.1| MA.912.G.5.4| MA.912.G.8.3
8-1 Problem 5 Classifying a Triangle
right triangle | obtuse triangle | acute triangle
DOK: DOK 1
PTS:
OBJ:
STA:
TOP:
KEY:
1
DIF: L3
REF: 8-1 The Pythagorean Theorem and Its Converse
8-1.1 Use the Pythagorean Theorem and its converse
MA.912.G.5.1| MA.912.G.5.4| MA.912.G.8.3
8-1 Problem 5 Classifying a Triangle
right triangle | obtuse triangle | acute triangle
DOK: DOK 1
13
ID: A
76. ANS:
11 2 ft
PTS:
OBJ:
STA:
TOP:
DOK:
77. ANS:
8 2
1
DIF: L2
REF: 8-2 Special Right Triangles
8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles
MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4
8-2 Problem 1 Finding the Length of the Hypotenuse
KEY: special right triangles
DOK 1
PTS: 1
DIF: L3
REF: 8-2 Special Right Triangles
OBJ: 8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles
STA: MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4
TOP: 8-2 Problem 2 Finding the Length of a Leg
KEY: special right triangles | hypotenuse | leg
DOK: DOK 1
78. ANS:
x = 9.9, y = 7
PTS:
OBJ:
STA:
TOP:
KEY:
79. ANS:
1
DIF: L4
REF: 8-2 Special Right Triangles
8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles
MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4
8-2 Problem 2 Finding the Length of a Leg
special right triangles | hypotenuse | leg
DOK: DOK 1
5 2
2
PTS:
OBJ:
STA:
TOP:
KEY:
80. ANS:
22 m
PTS:
OBJ:
STA:
KEY:
1
DIF: L3
REF: 8-2 Special Right Triangles
8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles
MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4
8-2 Problem 2 Finding the Length of a Leg
special right triangles | hypotenuse | leg
DOK: DOK 1
1
DIF: L4
REF: 8-2 Special Right Triangles
8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles
MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4
TOP: 8-2 Problem 3 Finding Distance
special right triangles | diagonal
DOK: DOK 2
14
ID: A
81. ANS:
5 2
PTS:
OBJ:
STA:
KEY:
82. ANS:
6+2
1
DIF: L3
REF: 8-2 Special Right Triangles
8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles
MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4
TOP: 8-2 Problem 3 Finding Distance
special right triangles | word problem
DOK: DOK 2
PTS:
OBJ:
STA:
TOP:
DOK:
83. ANS:
6 3
1
DIF: L4
REF: 8-2 Special Right Triangles
8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles
MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4
8-2 Problem 4 Using the Length of One Side
KEY: special right triangles | perimeter
DOK 3
3
PTS: 1
DIF: L2
REF: 8-2 Special Right Triangles
OBJ: 8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles
STA: MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4
TOP: 8-2 Problem 4 Using the Length of One Side
KEY: special right triangles | leg | hypotenuse
DOK: DOK 2
84. ANS:
x = 30, y = 10 3
PTS:
OBJ:
STA:
TOP:
KEY:
85. ANS:
x = 17
1
DIF: L3
REF: 8-2 Special Right Triangles
8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles
MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4
8-2 Problem 4 Using the Length of One Side
special right triangles | leg | hypotenuse
DOK: DOK 2
PTS:
OBJ:
STA:
TOP:
KEY:
1
DIF: L3
REF: 8-2 Special Right Triangles
8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles
MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4
8-2 Problem 4 Using the Length of One Side
special right triangles | leg | hypotenuse
DOK: DOK 2
3 , y = 34
15
ID: A
86. ANS:
73.2 in.2
PTS: 1
DIF: L2
REF: 8-2 Special Right Triangles
OBJ: 8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles
STA: MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4
TOP: 8-2 Problem 5 Applying the 30º-60º-90º Triangle Theorem
KEY: area of a triangle | word problem | problem solving
DOK: DOK 2
87. ANS:
70.1 cm2
PTS: 1
DIF: L3
REF: 8-2 Special Right Triangles
OBJ: 8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles
STA: MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4
TOP: 8-2 Problem 5 Applying the 30º-60º-90º Triangle Theorem
KEY: rhombus | word problem | problem solving
DOK: DOK 2
88. ANS:
28 ft; 0.4 min
PTS: 1
DIF: L4
REF: 8-2 Special Right Triangles
OBJ: 8-2.1 Use the properties of 45°-45°-90° and 30°-60°-90° triangles
STA: MA.912.G.5.1| MA.912.G.5.3| MA.912.G.5.4
TOP: 8-2 Problem 5 Applying the 30º-60º-90º Triangle Theorem
KEY: special right triangles | multi-part question | word problem | problem solving
DOK: DOK 3
89. ANS:
89.33
PTS: 1
DIF: L3
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 3 Using Inverses
KEY: angle measure using tangent
DOK: DOK 1
90. ANS:
60
PTS: 1
DIF: L3
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 3 Using Inverses
KEY: angle measure using cosine
DOK: DOK 1
91. ANS:
4.59
PTS: 1
DIF: L3
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 3 Using Inverses
KEY: angle measure using sine
DOK: DOK 1
16
ID: A
92. ANS:
tan Y 
3
5
; tan Z 
5
3
PTS: 1
DIF: L3
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 1 Writing Trigonometric Ratios
KEY: leg adjacent to angle | leg opposite angle | tangent | tangent ratio
DOK: DOK 1
93. ANS:
20
21
tan P 
; tan Q 
21
20
PTS: 1
DIF: L2
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 1 Writing Trigonometric Ratios
KEY: tangent ratio | tangent | leg opposite angle | leg adjacent to angle
DOK: DOK 1
94. ANS:
3
4
sin A  , cos A 
5
5
PTS: 1
DIF: L2
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 1 Writing Trigonometric Ratios
KEY: sine | cosine | sine ratio | cosine ratio
DOK: DOK 1
95. ANS:
24.7
PTS: 1
DIF: L2
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find Distance
KEY: side length using tangent | tangent | tangent ratio
DOK: DOK 2
96. ANS:
4
PTS: 1
DIF: L2
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find Distance
KEY: side length using tangent | tangent | tangent ratio
DOK: DOK 2
17
ID: A
97. ANS:
12.5
PTS: 1
DIF: L3
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find Distance
KEY: cosine | side length using sine and cosine | cosine ratio
DOK: DOK 2
98. ANS:
8.1
PTS: 1
DIF: L3
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find Distance
KEY: cosine | side length using sine and cosine | cosine ratio
DOK: DOK 2
99. ANS:
31.4
PTS: 1
DIF: L3
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find Distance
KEY: sine | side length using sine and cosine | sine ratio
DOK: DOK 2
100. ANS:
6.2
PTS: 1
DIF: L3
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find Distance
KEY: sine | side length using sine and cosine | sine ratio
DOK: DOK 2
101. ANS:
169.1 m
PTS: 1
DIF: L3
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 2 Using a Trigonometric Ratio to Find Distance
KEY: cosine | word problem | side length using sine and cosine | problem solving | cosine ratio
DOK: DOK 2
18
ID: A
102. ANS:
44
PTS: 1
DIF: L3
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 3 Using Inverses
KEY: inverse of cosine and sine | angle measure using sine and cosine | cosine
DOK: DOK 2
103. ANS:
35
PTS: 1
DIF: L3
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 3 Using Inverses
KEY: inverse of cosine and sine | angle measure using sine and cosine | sine
DOK: DOK 2
104. ANS:
60
PTS: 1
DIF: L2
REF: 8-3 Trigonometry
OBJ: 8-3.1 Use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right
triangles
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-3 Problem 3 Using Inverses
KEY: inverse of tangent | tangent | tangent ratio | angle measure using tangent
DOK: DOK 2
105. ANS:
2 is the angle of elevation from the radar tower to the airplane.
PTS:
OBJ:
STA:
TOP:
KEY:
106. ANS:
8.6 m
1
DIF: L2
REF: 8-4 Angles of Elevation and Depression
8-4.1 Use angles of elevation and depression to solve problems
MA.912.G.5.4| MA.912.T.2.1
8-4 Problem 1 Identifying Angles of Elevation and Depression
angles of elevation and depression DOK: DOK 1
PTS:
OBJ:
STA:
KEY:
107. ANS:
7.9 ft
1
DIF: L3
REF: 8-4 Angles of Elevation and Depression
8-4.1 Use angles of elevation and depression to solve problems
MA.912.G.5.4| MA.912.T.2.1
TOP: 8-4 Problem 2 Using the Angle of Elevation
sine | side length using sine and cosine | sine ratio
DOK: DOK 2
PTS:
OBJ:
STA:
KEY:
1
DIF: L3
REF: 8-4 Angles of Elevation and Depression
8-4.1 Use angles of elevation and depression to solve problems
MA.912.G.5.4| MA.912.T.2.1
TOP: 8-4 Problem 2 Using the Angle of Elevation
cosine | side length using sine and cosine | cosine ratio
DOK: DOK 2
19
ID: A
108. ANS:
9.2 cm
PTS: 1
DIF: L3
REF: 8-4 Angles of Elevation and Depression
OBJ: 8-4.1 Use angles of elevation and depression to solve problems
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-4 Problem 2 Using the Angle of Elevation
KEY: tangent | side length using tangent | tangent ratio
DOK: DOK 2
109. ANS:
1151.8 m
PTS: 1
DIF: L3
REF: 8-4 Angles of Elevation and Depression
OBJ: 8-4.1 Use angles of elevation and depression to solve problems
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-4 Problem 3 Using the Angle of Depression
KEY: sine | side length using sine and cosine | sine ratio | angles of elevation and depression
DOK: DOK 2
110. ANS:
10.4 yd
PTS:
OBJ:
STA:
KEY:
DOK:
111. ANS:
1.4 mi
1
DIF: L3
REF: 8-4 Angles of Elevation and Depression
8-4.1 Use angles of elevation and depression to solve problems
MA.912.G.5.4| MA.912.T.2.1
TOP: 8-4 Problem 3 Using the Angle of Depression
tangent | side length using tangent | tangent ratio | angles of elevation and depression
DOK 2
PTS: 1
DIF: L3
REF: 8-4 Angles of Elevation and Depression
OBJ: 8-4.1 Use angles of elevation and depression to solve problems
STA: MA.912.G.5.4| MA.912.T.2.1
TOP: 8-4 Problem 3 Using the Angle of Depression
KEY: side length using sine and cosine | word problem | problem solving | sine | angles of elevation and
depression | sine ratio
DOK: DOK 2
112. ANS:
28.12 cm2
PTS: 1
DIF: L3
REF: 10-1 Areas of Parallelograms and Triangles
OBJ: 10-1.1 Find the area of parallelograms and triangles
STA: MA.912.G.2.5| MA.912.G.2.7
TOP: 10-1 Problem 1 Finding the Area of a Parallelogram
KEY: area | parallelogram | base | height
DOK: DOK 2
113. ANS:
1188 in.2
PTS:
OBJ:
TOP:
DOK:
1
DIF: L3
REF: 10-1 Areas of Parallelograms and Triangles
10-1.1 Find the area of parallelograms and triangles
STA: MA.912.G.2.5| MA.912.G.2.7
10-1 Problem 1 Finding the Area of a Parallelogram
KEY: area | parallelogram | base | height
DOK 2
20
ID: A
114. ANS:
15 yd2
PTS: 1
DIF: L3
REF: 10-1 Areas of Parallelograms and Triangles
OBJ: 10-1.1 Find the area of parallelograms and triangles
STA: MA.912.G.2.5| MA.912.G.2.7
TOP: 10-1 Problem 3 Finding the Area of a Triangle
KEY: triangle | area
DOK: DOK 2
115. ANS:
5.4 cm2
PTS:
OBJ:
TOP:
DOK:
116. ANS:
12 cm
1
DIF: L3
REF: 10-1 Areas of Parallelograms and Triangles
10-1.1 Find the area of parallelograms and triangles
STA: MA.912.G.2.5| MA.912.G.2.7
10-1 Problem 3 Finding the Area of a Triangle
KEY: triangle | area
DOK 2
PTS: 1
DIF: L3
REF: 10-1 Areas of Parallelograms and Triangles
OBJ: 10-1.1 Find the area of parallelograms and triangles
STA: MA.912.G.2.5| MA.912.G.2.7
TOP: 10-1 Problem 2 Finding a Missing Dimension
KEY: area | base | height | parallelogram
DOK: DOK 2
117. ANS:
44 units2
PTS: 1
DIF: L4
REF: 10-1 Areas of Parallelograms and Triangles
OBJ: 10-1.1 Find the area of parallelograms and triangles
STA: MA.912.G.2.5| MA.912.G.2.7
TOP: 10-1 Problem 1 Finding the Area of a Parallelogram
KEY: area | rectangle
DOK: DOK 2
118. ANS:
91 cm2
PTS:
OBJ:
TOP:
DOK:
119. ANS:
32 3
PTS:
OBJ:
TOP:
DOK:
1
DIF: L3
REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites
10-2.1 Find the area of a trapezoid, rhombus, or kite
STA: MA.912.G.2.5| MA.912.G.2.7
10-2 Problem 1 Area of a Trapezoid
KEY: area | trapezoid
DOK 2
ft2
1
DIF: L3
REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites
10-2.1 Find the area of a trapezoid, rhombus, or kite
STA: MA.912.G.2.5| MA.912.G.2.7
10-2 Problem 2 Finding Area Using a Right Triangle
KEY: area | trapezoid
DOK 2
21
ID: A
120. ANS:
84 ft2
PTS:
OBJ:
TOP:
DOK:
121. ANS:
90 ft2
1
DIF: L3
REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites
10-2.1 Find the area of a trapezoid, rhombus, or kite
STA: MA.912.G.2.5| MA.912.G.2.7
10-2 Problem 2 Finding Area Using a Right Triangle
KEY: area | trapezoid
DOK 2
PTS: 1
DIF: L3
REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites
OBJ: 10-2.1 Find the area of a trapezoid, rhombus, or kite
STA: MA.912.G.2.5| MA.912.G.2.7
TOP: 10-2 Problem 3 Finding the Area of a Kite
KEY: area | kite
DOK: DOK 2
122. ANS:
36.8 ft2
PTS:
OBJ:
TOP:
DOK:
123. ANS:
50 3
1
DIF: L3
REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites
10-2.1 Find the area of a trapezoid, rhombus, or kite
STA: MA.912.G.2.5| MA.912.G.2.7
10-2 Problem 3 Finding the Area of a Kite
KEY: area | kite
DOK 2
PTS: 1
DIF: L3
REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites
OBJ: 10-2.1 Find the area of a trapezoid, rhombus, or kite
STA: MA.912.G.2.5| MA.912.G.2.7
TOP: 10-2 Problem 4 Finding the Area of a Rhombus
KEY: rhombus | diagonal | area
DOK: DOK 2
124. ANS:
128 m2
PTS: 1
DIF: L3
REF: 10-2 Areas of Trapezoids, Rhombuses, and Kites
OBJ: 10-2.1 Find the area of a trapezoid, rhombus, or kite
STA: MA.912.G.2.5| MA.912.G.2.7
TOP: 10-2 Problem 4 Finding the Area of a Rhombus
KEY: area | rhombus
DOK: DOK 2
125. ANS:
5 : 6 and 25 : 36
PTS:
OBJ:
STA:
TOP:
DOK:
1
DIF: L3
REF: 10-4 Perimeters and Areas of Similar Figures
10-4.1 Find the perimeters and areas of similar polygons
MA.912.G.2.3| MA.912.G.2.5| MA.912.G.2.7| MA.912.G.4.4
10-4 Problem 1 Finding Ratios in Similar Figures
KEY: perimeter | area | similar figures
DOK 1
22
ID: A
126. ANS:
8 : 7 and 64 : 49
PTS:
OBJ:
STA:
TOP:
DOK:
127. ANS:
1
DIF: L3
REF: 10-4 Perimeters and Areas of Similar Figures
10-4.1 Find the perimeters and areas of similar polygons
MA.912.G.2.3| MA.912.G.2.5| MA.912.G.2.7| MA.912.G.4.4
10-4 Problem 1 Finding Ratios in Similar Figures
KEY: perimeter | area | similar figures
DOK 2
315 cm2
PTS:
OBJ:
STA:
TOP:
DOK:
128. ANS:
1
DIF: L4
REF: 10-4 Perimeters and Areas of Similar Figures
10-4.1 Find the perimeters and areas of similar polygons
MA.912.G.2.3| MA.912.G.2.5| MA.912.G.2.7| MA.912.G.4.4
10-4 Problem 2 Finding Areas Using Similar Figures
KEY: similar figures | area
DOK 2
1217 ft 2
PTS: 1
DIF: L3
REF: 10-4 Perimeters and Areas of Similar Figures
OBJ: 10-4.1 Find the perimeters and areas of similar polygons
STA: MA.912.G.2.3| MA.912.G.2.5| MA.912.G.2.7| MA.912.G.4.4
TOP: 10-4 Problem 2 Finding Areas Using Similar Figures
KEY: similar figures | area
DOK: DOK 2
129. ANS:
7 : 13; 7 : 13
PTS: 1
DIF: L3
REF: 10-4 Perimeters and Areas of Similar Figures
OBJ: 10-4.1 Find the perimeters and areas of similar polygons
STA: MA.912.G.2.3| MA.912.G.2.5| MA.912.G.2.7| MA.912.G.4.4
TOP: 10-4 Problem 4 Finding Perimeter Ratios
KEY: similar figures | similarity ratio
DOK: DOK 2
130. ANS:
12.96 m2
PTS:
OBJ:
STA:
TOP:
DOK:
1
DIF: L3
REF: 10-7 Areas of Circles and Sectors
10-7.1 Find the areas of circles, sectors, and segments of circles
MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
10-7 Problem 1 Finding the Area of a Circle
KEY: area of a circle | radius
DOK 2
23
ID: A
131. ANS:
4.2025 m2
PTS: 1
DIF: L3
REF: 10-7 Areas of Circles and Sectors
OBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
TOP: 10-7 Problem 1 Finding the Area of a Circle
KEY: area of a circle | radius
DOK: DOK 2
132. ANS:
97.5 cm2
PTS: 1
DIF: L4
REF: 10-7 Areas of Circles and Sectors
OBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
TOP: 10-7 Problem 1 Finding the Area of a Circle
KEY: circumference | radius | diameter | area of a circle | word problem | problem solving
DOK: DOK 3
133. ANS:
74.2 in.2
PTS: 1
DIF: L3
REF: 10-7 Areas of Circles and Sectors
OBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle
KEY: sector | circle | area
DOK: DOK 2
134. ANS:
12.3 cm2
PTS: 1
DIF: L3
REF: 10-7 Areas of Circles and Sectors
OBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle
KEY: sector | circle | area | central angle
DOK: DOK 2
135. ANS:
20.25  40.5ft 2
PTS:
OBJ:
STA:
TOP:
DOK:
1
DIF: L2
REF: 10-7 Areas of Circles and Sectors
10-7.1 Find the areas of circles, sectors, and segments of circles
MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
10-7 Problem 3 Finding the Area of a Segment of a Circle KEY: sector | circle | area | central angle
DOK 2
24
ID: A
136. ANS:
70 cm2 ; 266 cm2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
137. ANS:
1
DIF: L3
REF: 11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 2 Using Formulas to Find Surface Area of a Prism
surface area of a prism | lateral area | prism | surface area formulas | surface area | word problem
DOK 2
100 m2 ; 328 m 2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
138. ANS:
1
DIF: L2
REF: 11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 2 Using Formulas to Find Surface Area of a Prism
surface area formulas | lateral area | surface area | prism | surface area of a prism
DOK 2
322 m2 ; 332 m 2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
139. ANS:
1
DIF: L4
REF: 11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 2 Using Formulas to Find Surface Area of a Prism
surface area formulas | lateral area | surface area | prism | surface area of a prism
DOK 2
350 cm2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
140. ANS:
1
DIF: L3
REF: 11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 3 Finding Surface Area of a Cylinder
surface area of a cylinder | cylinder | surface area formulas | surface area
DOK 2
522 in. 2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
1
DIF: L3
REF: 11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 3 Finding Surface Area of a Cylinder
surface area of a cylinder | cylinder | surface area formulas | surface area
DOK 2
25
ID: A
141. ANS:
3204 in. 2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
142. ANS:
1
DIF: L4
REF: 11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 3 Finding Surface Area of a Cylinder
surface area of a cylinder | cylinder | surface area formulas | surface area
DOK 2
5616 in. 2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
143. ANS:
1
DIF: L3
REF: 11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 3 Finding Surface Area of a Cylinder
cylinder | surface area of a cylinder | surface area formulas | surface area | word problem
DOK 2
95 ft 2
PTS:
OBJ:
TOP:
KEY:
DOK:
144. ANS:
1
DIF: L3
REF: 11-3 Surface Areas of Pyramids and Cones
11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-3 Problem 1 Finding the Surface Area of a Pyramid
surface area of a pyramid | surface area | surface area formulas | pyramid
DOK 2
740 m2
PTS: 1
DIF: L3
REF: 11-3 Surface Areas of Pyramids and Cones
OBJ: 11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
TOP: 11-3 Problem 1 Finding the Surface Area of a Pyramid
KEY: surface area of a pyramid | surface area formulas | pyramid
DOK: DOK 2
145. ANS:
6.2 mm
PTS:
OBJ:
TOP:
KEY:
DOK:
1
DIF: L2
REF: 11-3 Surface Areas of Pyramids and Cones
11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-3 Problem 2 Finding the Lateral Area of a Pyramid
pyramid | slant height of a pyramid | Pythagorean Theorem
DOK 2
26
ID: A
146. ANS:
21 m
PTS:
OBJ:
TOP:
KEY:
147. ANS:
1
DIF: L2
REF: 11-3 Surface Areas of Pyramids and Cones
11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-3 Problem 4 Finding the Lateral Area of a Cone
cone | slant height of a cone | Pythagorean Theorem
DOK: DOK 2
308.9 cm3
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
148. ANS:
1
DIF: L3
REF: 11-4 Volumes of Prisms and Cylinders
11-4.1 Find the volume of a prism and the volume of a cylinder
MA.912.G.7.5| MA.912.G.7.7
11-4 Problem 1 Finding the Volume of a Rectangular Prism
volume of a rectangular prism | volume formulas | volume | prism
DOK 2
576 ft 3
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
149. ANS:
1
DIF: L2
REF: 11-4 Volumes of Prisms and Cylinders
11-4.1 Find the volume of a prism and the volume of a cylinder
MA.912.G.7.5| MA.912.G.7.7
11-4 Problem 1 Finding the Volume of a Rectangular Prism
volume of a rectangular prism | volume formulas | volume | prism
DOK 2
2046.0 yd 3
PTS:
OBJ:
STA:
KEY:
DOK:
150. ANS:
1
DIF: L3
REF: 11-4 Volumes of Prisms and Cylinders
11-4.1 Find the volume of a prism and the volume of a cylinder
MA.912.G.7.5| MA.912.G.7.7
TOP: 11-4 Problem 2 Finding the Volume of a Triangular Prism
volume of a triangular prism | volume formulas | volume | prism
DOK 2
115.52 m 3
PTS:
OBJ:
STA:
KEY:
1
DIF: L3
REF: 11-4 Volumes of Prisms and Cylinders
11-4.1 Find the volume of a prism and the volume of a cylinder
MA.912.G.7.5| MA.912.G.7.7
TOP: 11-4 Problem 3 Finding the Volume of a Cylinder
volume of a cylinder | cylinder | volume formulas | volume DOK: DOK 2
27
ID: A
151. ANS:
350 in. 3
PTS:
OBJ:
STA:
KEY:
152. ANS:
1
DIF: L3
REF: 11-4 Volumes of Prisms and Cylinders
11-4.1 Find the volume of a prism and the volume of a cylinder
MA.912.G.7.5| MA.912.G.7.7
TOP: 11-4 Problem 3 Finding the Volume of a Cylinder
volume of a cylinder | cylinder | volume formulas | volume DOK: DOK 2
605 cm3
PTS:
OBJ:
TOP:
KEY:
DOK:
153. ANS:
1
DIF: L2
REF: 11-5 Volumes of Pyramids and Cones
11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-5 Problem 1 Finding Volume of a Pyramid
volume of a pyramid | pyramid | volume formulas | volume
DOK 2
1280 ft 3
PTS: 1
DIF: L3
REF: 11-5 Volumes of Pyramids and Cones
OBJ: 11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
TOP: 11-5 Problem 2 Finding the Volume of a Pyramid
KEY: volume of a pyramid | pyramid | volume formulas | volume | height of a pyramid | Pythagorean Theorem
| slant height
DOK: DOK 2
154. ANS:
7,680 cm3
PTS: 1
DIF: L3
REF: 11-5 Volumes of Pyramids and Cones
OBJ: 11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
TOP: 11-5 Problem 2 Finding the Volume of a Pyramid
KEY: volume of a pyramid | pyramid | volume formulas | volume | height of a pyramid | Pythagorean Theorem
| slant height
DOK: DOK 2
155. ANS:
2205.4 m 3
PTS:
OBJ:
TOP:
KEY:
156. ANS:
1
DIF: L3
REF: 11-5 Volumes of Pyramids and Cones
11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-5 Problem 3 Finding the Volume of a Cone
volume of a cone | volume formulas | volume | cone
DOK: DOK 2
1139.4 yd 3
PTS:
OBJ:
TOP:
KEY:
1
DIF: L2
REF: 11-5 Volumes of Pyramids and Cones
11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-5 Problem 3 Finding the Volume of a Cone
volume of a cone | cone | volume formulas | volume
DOK: DOK 2
28
ID: A
157. ANS:
707.9 in. 3
PTS:
OBJ:
TOP:
KEY:
DOK:
158. ANS:
1
DIF: L3
REF: 11-5 Volumes of Pyramids and Cones
11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-5 Problem 4 Finding the Volume of an Oblique Cone
volume of a cone | oblique cone | volume formulas | volume
DOK 2
441 in. 3
PTS:
OBJ:
TOP:
KEY:
DOK:
159. ANS:
1
DIF: L3
REF: 11-5 Volumes of Pyramids and Cones
11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-5 Problem 4 Finding the Volume of an Oblique Cone
volume of a cone | oblique cone | volume formulas | volume
DOK 2
14,400 m 2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
160. ANS:
1
DIF: L2
REF: 11-6 Surface Areas and Volumes of Spheres
11-6.1 Find the surface area and volume of a sphere
MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
11-6 Problem 1 Finding the Surface Area of a Sphere
surface area of a sphere | surface area formulas | surface area | sphere
DOK 2
196 cm2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
161. ANS:
1
DIF: L3
REF: 11-6 Surface Areas and Volumes of Spheres
11-6.1 Find the surface area and volume of a sphere
MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
11-6 Problem 1 Finding the Surface Area of a Sphere
surface area of a sphere | surface area formulas | surface area | sphere
DOK 2
53.8 mm2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
1
DIF: L3
REF: 11-6 Surface Areas and Volumes of Spheres
11-6.1 Find the surface area and volume of a sphere
MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
11-6 Problem 2 Finding Surface Area
surface area of a sphere | surface area formulas | surface area | sphere
DOK 2
29
ID: A
162. ANS:
39 cm2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
163. ANS:
1
DIF: L3
REF: 11-6 Surface Areas and Volumes of Spheres
11-6.1 Find the surface area and volume of a sphere
MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
11-6 Problem 2 Finding Surface Area
circumference of a circle | surface area of a sphere | surface area | surface area formulas | sphere
DOK 2
3054 mm3
PTS:
OBJ:
STA:
TOP:
KEY:
164. ANS:
1
DIF: L2
REF: 11-6 Surface Areas and Volumes of Spheres
11-6.1 Find the surface area and volume of a sphere
MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
11-6 Problem 3 Finding the Volume of a Sphere
volume of a sphere | sphere | volume formulas | volume
DOK: DOK 2
1,437 cm3
PTS:
OBJ:
STA:
TOP:
KEY:
165. ANS:
1
DIF: L3
REF: 11-6 Surface Areas and Volumes of Spheres
11-6.1 Find the surface area and volume of a sphere
MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
11-6 Problem 3 Finding the Volume of a Sphere
volume of a sphere | sphere | volume formulas | volume
DOK: DOK 2
3033 m 2
PTS: 1
DIF: L3
REF: 11-6 Surface Areas and Volumes of Spheres
OBJ: 11-6.1 Find the surface area and volume of a sphere
STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
TOP: 11-6 Problem 4 Using Volume to Find Surface Area
KEY: surface area of a sphere | problem solving | word problem | sphere | surface area | surface area formulas |
volume
DOK: DOK 2
166. ANS:
1606.9 m 2
PTS: 1
DIF: L3
REF: 11-6 Surface Areas and Volumes of Spheres
OBJ: 11-6.1 Find the surface area and volume of a sphere
STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
TOP: 11-6 Problem 4 Using Volume to Find Surface Area
KEY: surface area of a sphere | problem solving | word problem | sphere | surface area | surface area formulas |
volume
DOK: DOK 2
30
ID: A
167. ANS:
no
PTS: 1
DIF: L3
REF: 11-7 Areas and Volumes of Similar Solids
OBJ: 11-7.1 Compare and find the areas and volumes of similar solids
STA: MA.912.G.7.6
TOP: 11-7 Problem 1 Identifying Similar Solids
KEY: similar solids | similarity ratio | rectangular prism
DOK: DOK 2
168. ANS:
yes; 1 : 3
PTS: 1
DIF: L3
REF: 11-7 Areas and Volumes of Similar Solids
OBJ: 11-7.1 Compare and find the areas and volumes of similar solids
STA: MA.912.G.7.6
TOP: 11-7 Problem 1 Identifying Similar Solids
KEY: similar solids | similarity ratio | rectangular prism
DOK: DOK 2
169. ANS:
yes; 1 : 1.6
PTS:
OBJ:
STA:
KEY:
170. ANS:
9 : 19
1
DIF: L4
REF: 11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 1 Identifying Similar Solids
similar solids | similarity ratio | cylinder
DOK: DOK 2
PTS:
OBJ:
STA:
KEY:
171. ANS:
3:5
1
DIF: L3
REF: 11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 2 Finding the Scale Factor
similarity ratio | surface areas of similar solids | prism
DOK: DOK 2
PTS: 1
DIF: L3
REF: 11-7 Areas and Volumes of Similar Solids
OBJ: 11-7.1 Compare and find the areas and volumes of similar solids
STA: MA.912.G.7.6
TOP: 11-7 Problem 2 Finding the Scale Factor
KEY: similarity ratio | volumes of similar solids
DOK: DOK 2
172. ANS:
The ratio of their corresponding areas is 9 : 196.
The ratio of their corresponding volumes is 27 : 2744.
PTS:
OBJ:
STA:
KEY:
1
DIF: L2
REF: 11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 2 Finding the Scale Factor
similarity ratio | volumes of similar solids
DOK: DOK 1
31
ID: A
173. ANS:
47.52 lb
PTS:
OBJ:
STA:
KEY:
DOK:
174. ANS:
1
DIF: L3
REF: 11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 3 Using a Scale Factor
similarity ratio | volumes of similar solids | word problem | problem solving
DOK 2
393 yd 3
PTS:
OBJ:
STA:
KEY:
DOK:
1
DIF: L3
REF: 11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 3 Using a Scale Factor
similarity ratio | ratio of surface areas of similar solids | ratio of volumes of similar solids
DOK 2
32