Download Accelerated Geometry Summer Assignment

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Accelerated Geometry Summer Assignment
5. Which angle measures approximately 72°?
a.
1. The distance between points A and B is _______.
b.
c.
13
11
85
a.
b.
c.
d.
d.
85
2. Find the midpoint of the segment with endpoints
(9, 8) and (3, 5).
3
a. (3, )
2
b. (12, 13)
13
c. (6, )
2
d. (1, –2)
6. If m∠IOJ = 22° and m∠HOI = 25°, then what is the
measure of ∠HOJ ?
3. The nonshared sides of two adjacent angles form a
pair of opposite rays. The angles are _________.
a. acute
b. complementary
c. a linear pair
d. vertical angles
4. Which one of the statements below is false?
a. A circle is NOT a polygon.
b. An octagon has 8 angles.
c. A decagon has 10 sides.
d. A pentagon has 9 angles.
a.
b.
c.
d.
1
45°
44°
52°
47°
9. A wooden fence is to be built around a 50 m-by-62
m lot. How many meters of fencing will be needed?
If the wood for the fence costs $47.75 per meter,
what will the wood for the fence cost?
a. 3100 m, $148,025.00
b. 3100 m, $10,696.00
c. 224 m, $10,696.00
d. 224 m, $148,025.00
7. Which is not a possible value for y in the figure
below?
a.
b.
c.
d.
70
115
55
160
Use the formula for the area of a triangle
1
( A = bh) to find the value of the unknown
2
variable.
8. Which figure below is not a regular polygon?
a.
10. Henry wants to use 48 feet of fencing to enclose
part of his yard for a garden. Which of the figures
described would use all 48 feet of fencing and
enclose the largest area of Henry's yard?
a. A rectangle with a length of 14 feet and a width
of 10 feet
b. A rectangle with a length of 16 feet and a width
of 8 feet
c. A square with a side length of 12 feet
d. A circle with a radius of about 7.6 feet
b.
11. In the figure shown, m∠AED = 124°. Which of the
following statements is false?
c.
d.
a.
b.
c.
d.
2
∠BEC and ∠CED are adjacent angles.
∠AEB and ∠DEC are supplementary angles.
m∠AEB = 56°
m∠BEC = 124°
15. In the figure, ∠6 and ∠2 are _____________.
12. Solve for x.
a.
b.
c.
d.
3
6
1
2
a.
b.
c.
d.
13. Give the reason for the last statement in the proof.
Statement
Reason
∠1 and ∠2 are vertical angles.
Given
∠1 ≅ ∠2
?
alternate interior angles
consecutive interior angles
alternate exterior angles
corresponding angles
←
→
a.
b.
c.
d.
←

→
16. Find m∠1 in the figure below. PQ and RS are
parallel.
Vertical Angles Congruence Theorem
Congruent Complements Theorem
Congruent Supplements Theorem
Linear Pair Postulate
14. In the figure, ∠1
and ∠2 are
_________.
a.
b.
c.
d.
a.
b.
c.
d.
105°
75°
115°
15°
17. Which best describes the relationship between the
line that passes through (7, 1) and (10, 5) and the
line that passes through (–8, 5) and (–5, 9)?
a. same line
b. perpendicular
c. neither perpendicular nor parallel
d. parallel
alternate exterior angles
alternate interior angles
consecutive interior angles
corresponding angles
3
18. In the figure, l Ä n and r is a transversal. Which of
the following is not necessarily true?
a.
b.
c.
d.
∠8 ≅
∠2 ≅
∠5 ≅
∠7 ≅
21. Line m is parallel to line n and they are each
intersected by the same two transversals. Which
angle is NOT necessarily congruent to ∠4?
∠2
∠6
∠3
∠4
←
→
a.
b.
c.
d.
←
→
19. In the figure shown, HC Ä GD and m∠ABC =
100°. Which of the following statements is false?
a.
b.
c.
d.
∠12
∠16
∠7
∠15
22. What is the slope of the line that passes through
points A (-2,-3) and B (5,3)?
6
a.
7
7
b.
6
6
c. −
7
d. 0
23. Which best describes the relationship between Line
1 and Line 2?
Line 1 passes through ÊÁË −3, 6 ˆ˜¯ and ÊÁË −7, 11 ˆ˜¯
Line 2 passes through ÊÁË 1, 8 ˆ˜¯ and ÊÁË −4, 4 ˆ˜¯
a. perpendicular
b. They are the same line.
c. parallel
d. neither perpendicular nor parallel
m∠CBE = 80°
m∠DEF = 80°
∠DEB and ∠CBE are corresponding angles.
∠CBE and ∠GEB are alternate interior angles.
20. Which best describes the relationship between the
lines with equations
−5x − 8y = 4 and − 30x − 48y = 24?
a. neither parallel nor perpendicular
b. same line
c. parallel
d. perpendicular
4
. The line that passes through
9
which of the following pairs of points is parallel to
L1 ?
a. (6, –3) and (2, 6)
b. (12, –1) and (2, 8)
c. (–5, 2) and (6, 6)
d. (–3, 2) and (6, 6)
24. A line L 1 has slope
4
25. Which graph below would match the situation
described?
A car is traveling at 44 mph slows to 21 mph in the
first 5 seconds. It maintains that speed for the next
5 seconds, and then slows to a stop in the next five
seconds.
a.
26. Write an equation that is parallel to y =
a.
b.
c.
d.
2
x − 7.
3
3
y = − x+7
2
2
y = x+1
3
3
y = x+2
2
2
y = − x−7
3
27. Write an equation that is perpendicular to
y = −4x + 2 .
a. y = 4x + 2
b. y = −4x − 2
1
c. y = x + 1
4
1
d. y = − x + 1
4
b.
28. Write an equation in slope-intercept form of the
graph shown.
c.
a.
d.
b.
c.
d.
5
11
x−7
5
5
y=
x−7
11
11
y=
x−7
5
5
y =− x−7
11
y=−
29. Name a right triangle.
a.
b.
c.
d.
33. Find the value of x.
∆BDC
none of these
∆ADB
∆ABC
a.
b.
c.
d.
30. A triangle has angle measures of 60°, 60°, and 60°.
Choose the term that describes the triangle.
a. Equiangular
b. Right
c. Obtuse
d. Scalene
117
297
66
51
34. Find the value of x.
31. How many obtuse angles can an isosceles triangle
have?
a. 2
b. 3
c. 0
d. 1
a.
b.
c.
d.
32. Find the value of x:
14°
166°
104°
28°
35. Use the figure below to solve for x.
a.
b.
c.
d.
127°
35°
88°
145°
a.
b.
c.
d.
6
55
90
145
45
36. Refer to the figure below. m∠C =
a.
b.
c.
d.
38. Which pair of lengths can be two of the sides of an
isosceles triangle which has a perimeter of 52
inches?
a. 15 inches, 25 inches
b. 15 inches, 22 inches
c. 12 inches, 22 inches
d. 16 inches, 21 inches
100°
17°
148°
15°
37. The measure of ∠B is
a.
b.
c.
d.
.
39. What is the value of z? (The figure may not be
drawn to scale.)
.
99°
89°
79°
101°
a.
b.
c.
d.
z = 56
z = 25
z = 64
z = 31
40. The two triangle-shaped gardens are congruent. Find the missing side lengths and angle measures.
a.
b.
c.
d.
a = 5 ft; b = 28°; c = 90°; d = 62°; e = 5 ft
a = 5 ft; b = 28°; c = 62°; d = 90°; e = 5 ft
a = 9.5 ft; b = 28°; c = 90°; d = 62°; e = 10.7 ft
a = 5 ft; b = 28°; c = 90°; d = 62°; e = 10.7 ft
7
41. If ∆ABC ≅ ∆DEF, AB = 10 feet, m∠B = 27°, and
m∠F = 14°, which of the following statements is
false?
a. AC = DF
b. ∠C ≅ ∠F
c. m∠E = 139°
d. AB = DE
46. Identify the coordinates of the image point formed
after (–1, 3) is reflected over the x-axis.
a. (–1, 3)
b. (1, 3)
c. (1, –3)
d. (–1, –3)
47. What is the measure of each base angle of an
isosceles triangle if its vertex angle measures 40
degrees and its 2 congruent sides measure 25 units?
42. In the diagram, ∠B ≅ ∠E and ∠C ≅ ∠F . Find the
value of x.
a.
b.
c.
d.
x = 50
x = 25
x = 75
x = 35
a.
b.
c.
d.
43. If ∆MNO ≅ ∆VWX, which statement is NOT true?
a. NO ≅ VW
b. ∠O ≅ ∠X
c. MO ≅ VX
d. ∠N ≅ ∠W
70°
140°
50°
40°
48. In ∆ABC , AB = 3x – 2, BC = x + 4, and AC = 7.
Also AB ≅ BC . Which term does NOT describe
∆ABC ?
a. Equilateral
b. Acute
c. Isosceles
d. Obtuse
44. Given:∠B ≅ ∠E and ∠C ≅ ∠F . What other piece
of information is needed to show ∆ABC ≅ ∆DEF
by ASA Congruence Postulate?
a. EF ≅ FE
b. BC ≅ EF
c. ∠A ≅ ∠D
d. ∠B = ∠F
49. Given: ∆ABC ≅ ∆DEF with AB ≅ BC . Which
statement of congruence is not provable?
a. ∆ABC ≅ ∆CBA
b. ∆DEF ≅ ∆CBA
c. ∆ABC ≅ ∆FDE
d. ∆ABC ≅ ∆FED
45. In ∆ABC , if AB ≅ BC and m∠A = 39°, then m∠C =
.
a. 102°
b. 39°
c. m∠B
d. 141°
8
50. Given m∠NOP = m∠NPO; NO = 2n + 4;
NP = 8n − 3; OP = 9; find NO.
51. What is the translation image of (–3, –6) after the
translation ÊÁË x, y ˆ˜¯ → (x+ 4, y+ 3)?
a.
b.
c.
d.
a.
b.
c.
d.
(–7, –9)
(1, –9)
(–7, –3)
(1, –3)
NO = 3
19
NO =
3
7
NO =
6
NO = 22
52. Refer to the figure below. Which of the following statements is true?
HLK is isosceles with base HK , ∠IHL and ∠JKL are right angles, IK ≅ JH
a.
b.
∆HIL ≅ ∆KJL by HL
∆HLK ≅ ∆JLK by SSS
c.
d.
∆HKI ≅ ∆HJK by SAS
There are no congruent triangles.
53. Refer to the figure shown. Which of the following statements is true?
a.
b.
∆TUV ≅ ∆XWV by ASA
∆TUV ≅ ∆VWX by SAS
c.
d.
∆TUV ≅ ∆WXV by SAS
∆TUV ≅ ∆WXV by SSS
9
56. A person facing east walks east 20 paces, turns,
walks north 10 paces, turns, walks west 25 paces,
turns, walks south 10 paces, turns, walks east 15
paces, and then stops. What one transformation
could have produced the same final result in terms
of the position of the person and the direction the
person faces?
a. reflection over the north-south axis
b. rotation
c. translation
d. reflection over the east-west axis
54. Identify the coordinates of the point (–5, –3) after a
rotation of 180° clockwise about the origin.
a. (–5, 3)
b. (5, 3)
c. (–3, –5)
d. (5, –3)
55. Which graph represents a reflection in the x -axis?
a.
57. A right triangle is placed in a convenient position
in the first quadrant of a coordinate plane. Which is
the missing label for the vertex?
b.
a.
b.
c.
d.
c.
ÊÁ v,0 ˆ˜
Ë ¯
(0,u)
(0,v)
ÊÁ u,v ˆ˜
Ë ¯
58. For the triangle shown, VS = 5 and VQ = 6. Then
PQ = ______.
d.
a.
b.
c.
d.
10
11
12
10
5


→
5
x + 4 and AE = 6x + 4.
2
Assume B is the midpoint of AC and D is the
midpoint of CE.
61. OE bisects ∠BOA, EA ⊥ OA, and EB ⊥ OB.
Which statement is NOT true?
59. Solve for x given BD =
a.
b.
c.
d.
a.
−
b.
c.
4
2
d.
−
1
2
AE ≅ BE
∠AOE ≅ ∠EAO
OA ≅ OB
∠AEO ≅ ∠BEO
a c
= , then ______.
b d
a+b c+b
=
a.
b
d
b. ac = bd
a+b c+d
c.
=
b
d
a a+c
d.
=
b b+d
62. If
1
4
←
→
60. Given: BC is the perpendicular bisector of KM .
Which statement is true?
1
inch : 28 miles. If the
2
actual distance between the two cities is 448 miles,
how far apart are they on the map?
a. 16 inches
b. 32 inches
c. 8 inches
d. 4 inches
63. A map has a scale of
a.
∠BLM, ∠MLC , ∠CLK, ∠KLB
b.
c.
d.
are all right angles.
CM = BM
∠KBM is a right angle.
C is the midpoint of KM
11
67. If two polygons are SIMILAR, then the
corresponding sides must be _____.
a. proportional
b. congruent
c. parallel
d. similar
64. The Community Recreation Center is developing
plans for a new sports facility. Community
members can submit suggestions for the new
facility, along with basic scale drawings of their
ideas. Rachel wants to include a new 11- by
24-meter tennis court in the athletic center. She is
submitting a scale drawing on an 8.5- by 11-inch
sheet of paper. Which scale should Rachel use to
create as large a drawing as possible on the paper?
3
in. = 1 m
a.
8
3
b.
in. = 1 m
4
1
c.
in. = 1 m
8
7
d.
in. = 1 m
16
68. Given that ∆ABC ∼ ∆DEF, solve for x and y.
65. Are the two polygons similar? (They are not drawn
to scale, but assume all angles are 90°.) If not,
explain why.
a.
b.
c.
d.
x = 9.75, y = 11.2
x = 8.75, y = 11.2
x = 8.75, y = 10.2
x = 9.75, y = 10.2
69. The perimeter of ∆PQR is 80, PQ = 30, ∆PQR
∼∆STU, and ST = 18. What is the perimeter of
∆STU?
a. 18.4
b. 6.8
c. 48
d. 24
a.
b.
c.
d.
70. A rectangle has a length of 9 mm. A similar
rectangle is drawn using a scale of 1:3. What is the
length of the second rectangle?
a. 9 mm
b. 6 mm
c. 3 mm
d. 4 mm
Yes
5
6
≠
25 10
not enough information to tell
5
8
No;
≠
25 41
No;
66. If two polygons are SIMILAR, then the
corresponding angles must be _____.
a. complementary
b. supplementary
c. congruent
d. linear pairs
12
73. Two ladders are leaning against a wall at the same
angle as shown.
71. The triangles below are similar. Find x.
a.
b.
c.
d.
2.9
130
123.5
49.4
72. Which triangle is NOT similar to any of the others?
How far up the wall does the shorter ladder reach?
a. 16 ft
b. 18 ft
c. 22 ft
d. 36 ft
a.
b.
74. One way to show that two triangles are similar is to
show that ______.
a. two angles of one are congruent to two angles
of the other
b. two sides of one are proportional to two sides
of the other
c. a side of one is congruent to a side of the other
d. an angle of one is congruent to an angle of the
other
c.
d.
75. The postulate or theorem that can be used to prove
that the two triangles are similar is _____.
a.
b.
c.
d.
13
SAS Similarity Theorem
ASA Congruence Theorem
SSS Similarity Theorem
AA Similarity Postulate
79. For the figure shown, which statement is not true?
76. If the corresponding sides of two triangles are
proportional, then _____.
a. the triangles are right triangles
b. the triangles are similar
c. corresponding side lengths are equal
d. the triangles are congruent
77. Given: PQ || BC . Find the length of AQ.
a.
b.
c.
d.
w x
=
y
z
wx = yz
wz = xy
w y
=
x
z
80. The dashed triangle is the image of the solid
triangle for a dilation with center at the origin.
What is the scale factor?
a.
b.
c.
d.
17
19
12
15
78. If ∆ABC ~ ∆PBQ, then which of the following
proportions is NOT true?
a.
b.
a.
b.
c.
d.
AC CB
=
PQ QB
AP AC
=
PB PQ
AP CQ
=
PB QB
PB PQ
=
AB AC
c.
d.
14
2
3
3
2
3
1
3
81. One triangle is shown on the coordinate grid. Two
vertices for a second triangle are also shown.
Which coordinates for the third vertex will form
another triangle that is similar to the triangle that is
shown?
a.
b.
c.
d.
ÊÁ −7,
Ë
ÊÁ −7,
Ë
ÊÁ −7,
Ë
ÁÊ −7,
Ë
In the figure below, ∆ABC ∼ ∆A' B ' C ' .
82. Which statement is true of the transformation from
∆ABC to ∆A' B ' C ' .?
a. The measures of all corresponding angles
change by a scale factor of 2.
b. The measures of all corresponding angles
1
change by a scale factor of .
2
c. The lengths of all corresponding sides change
by a scale factor of 2.
d. The lengths of all corresponding sides change
1
by a scale factor of .
2
− 7 ˆ˜¯
− 2 ˆ˜¯
− 5 ˆ˜¯
5 ˆ˜¯
83. For the triangle shown below, the Pythagorean
Theorem states that _____.
a.
b.
c.
d.
15
e2 + f 2 = g2
e=f+g
f 2 − g2 = e2
e2 = f 2 + g2
84. If a, b, and c are sides of a right triangle, which of
the following are also sides of a right triangle?
a. The square root of each length ( a , b ,
b.
c.
d.
88. A freshly-planted sapling is braced by 3 cables
attached to a collar secured to the sapling 8 feet up
the trunk. Each cable is staked into the ground 3
feet from the sapling's trunk.
c)
Twice the length of each side (2a, 2b, 2c)
Four more than each length (a + 4, b + 4, c + 4)
The square of each length
85. Which of the following sets of numbers is a
Pythagorean triple?
a.
3, 4, 5
b. 12, 16, 20
1 1 1
c.
, ,
3 4 5
d. 3 2 , 4 2 , 5 2
86. A set of Pythagorean triples is _____.
a. 3, 5, 9
b. 1, 1, 2
c. 6, 9, 12
d. 5, 12, 13
If fastening a cable to the collar uses 8 inches of
cable and fastening it to its stake also uses 8 inches
of cable, about how much cable has been used?
87. A 25.5 foot ladder rests against the side of a house
at a point 24.1 feet above the ground. The foot of
the ladder is x feet from the house. Find the value
of x to one decimal place.
a.
b.
c.
d.
about 29.6 feet
about 27.6 feet
about 25.3 feet
about 26.3 feet
89. Which set of lengths cannot form a right triangle?
a. 6 mm, 12 mm, 13 mm
b. 5 mm, 12 mm, 13 mm
c. 2.5 mm, 6 mm, 6.5 mm
d. 10 mm, 24 mm, 26 mm
a.
b.
c.
d.
90. If the side lengths of a triangle are 7, 6, and 9, the
triangle _____.
a. is an obtuse triangle
b. is a right triangle
c. is an acute triangle
d. cannot be formed
1.9
7.0
8.3
10.1
91. Choose the set that is the possible side lengths of a
right triangle.
a. 1, 1, 2
b. 1, 1, 2
c. 3, 4, 7
d. 3, 5, 9
16
95. An equilateral triangle has side lengths of 10. The
length of its altitude is _____.
a. 10 5
b. 5
c. 5 10
92. A board 8 feet long is to be used as a temporary
brace for a section of fence that has a broken post.
If the board is nailed to the fence 6 feet above
ground level, about how far from the base of the
fence is the other end of the board when it is
fastened to a stake in the ground?
d.
5 3
96. The tangent of ∠B is _____.
a.
b.
c.
d.
95
7
95
12
7 95
12
7
97. The cosine of ∠A is the ratio _____.
a.
b.
c.
d.
7.2 feet
5.3 feet
6.8 feet
2 feet
93. Choose the set that is the possible side lengths of a
right triangle.
a. 4, 9, 13
b.
2, 2, 2
c. 1, 1, 2
d. 8, 15, 25
a.
b.
94. Which of the following cannot be the lengths of a
30°-60°-90° triangle?
21 42 21
a.
,
,
3
13 13 13
b. 23, 46, 46 3
c.
d.
c.
d.
27, 54, 27 3
6, 12, 6 3
17
adj.
hyp.
opp.
hyp.
hyp.
adj.
opp.
adj.
102. Find tan B for the right triangle below:
98. To find the height of a tower, a surveyor positions
a transit that is 2 meters tall at a spot 95 meters
from the base of the tower. She measures the angle
of elevation to the top of the tower to be 32°. What
is the height of the tower, to the nearest meter?
a. 154 m
b. 59 m
c. 61 m
d. 152 m
99. A slide 4.1 m long makes an angle of 27° with the
ground. How high is the top of the slide above the
ground?
a. 1.86 m
b. 3.65 m
c. 1.93 m
d. 2.09 m
a.
b.
c.
d.
100. Which statement is true?
a. All quadrilaterals are squares.
b. All rectangles are squares.
c. All parallelograms are quadrilaterals.
d. All quadrilaterals are parallelograms.
8
17
15
17
8
15
15
8
103. Find x. Round the result to the nearest hundredth.
101. What is x to the nearest hundredth? (not drawn to
scale)
a.
b.
c.
d.
a.
b.
c.
d.
x = 13.51
x = 11.15
x = 10.04
x = 16.66
104. Which of the following is NOT enough information
to solve a right triangle?
a. Two sides
b. One side length and one trigonometric ratio
c. Two angles
d. One side length and one acute angle measure
x = 16.66
x = 13.51
x = 11.15
x = 10.04
105. Find the measure of each exterior angle of a regular
polygon with 16 sides.
a. 11.25°
b. 360°
c. 22.5°
d. 157.5°
18
106. Choose the statement that is NOT ALWAYS true.
For any parallelogram _______.
a. the diagonals bisect each other
b. opposite angles are congruent
c. the diagonals are perpendicular
d. opposite sides are congruent
111. Identify two chords.
107. If ON = 7x − 5, LM = 6x + 3, NM = x − 4, and
OL = 2y + 5, find the values of x and y given that
LMNO is a parallelogram.
a.
b.
c.
d.
a.
b.
c.
d.
IJ and KL
GH and KL
GH and IJ
GI and HJ
112. A circle is the set of all points in a plane that
_____.
a. have a center
b. are equidistant from a given point
c. have a diameter
d. lie within a given radius
1
13
;y=
2
2
x = 8; y = −2
1
x = 8; y = −
2
x = 2; y = −2
x=
113. A segment with endpoints on a circle is a _____.
a. secant
b. radius
c. tangent
d. chord
108. Choose the statement that is NOT ALWAYS true.
For a rhombus ________.
a. each diagonal bisects a pair of opposite angles
b. all four sides are congruent
c. the diagonals are congruent
d. the diagonals are perpendicular
114. The center of a circle lies on _____.
a. every diameter
b. the circle
c. a tangent line
d. every chord
109. The diagonals of a parallelogram always
_________.
a. are congruent
b. are parallel
c. bisect each other
d. are perpendicular
115. If a circle has a diameter of 12, then it has _____.
a. a radius of 4
b. a radius of 24
c. a radius of 6
d. a diameter of 6
110. Which statement is NOT always true of a
rhombus?
a. The diagonals are perpendicular to each other.
b. The diagonals bisect each other.
c. Each diagonal is longer than at least one side.
d. The sum of the diagonals is less than the
perimeter.
116. A line which intersects a circle at exactly one point
is called_____.
a. a point of tangency
b. a tangent line
c. a chord
d. a secant
19
120. A wooden wagon wheel has 12 equally spaced
spokes radiating from the central hub.
117. The circle is circumscribed by the pentagon as
shown (not drawn to scale). If QZ = 10, YX = 9,
XW = 13, UW = 16, and SU = 17, find the
perimeter of the pentagon.
a.
b.
c.
d.
What is the measure of the angle that determines
the separation between two adjacent spoke holes?
a. 22.5°
b. 30°
c. 12°
d. 45°
120
98
130
88
121. Find the value of x.
118. Use the figure. SR is tangent to ñQ at R. Choose
the true statement.
a. m∠RQS + m∠QSR = 180°
b. m∠RQS = 90°
c. m∠SRQ = 90°
d.
SQ ≅ SR
119. RP is tangent to ñG at P. RQ is tangent to ñG at
Q. Choose the statement that is NOT true.
a.
b.
c.
d.
a.
b.
c.
d.
∠GRP ≅ ∠GRQ
∠PGR ≅ ∠QGR
PR ≅ QR
∠GPR is obtuse.
20
11.6
12.4
6.7
8.0
126. If the sides of a square are made eight times longer,
how many times the area of the original figure
is the area of the new figure?
a. 128 times
b. 8 times
c. 64 times
d. 640 times
122. Given AC bisects BD , choose the true statement
that refers to the figure.
a.
CD = BA
b.
c.
BCD is a major arc.
AC is a diameter.
d.
BAD is a minor arc.
127. For a circle of radius 5 feet, find the length of an
arc s with a measure of 28°.
7
a. s = π feet
9
7
b. s = π feet
18
1
c. s = π feet
36
d. s = 140π feet
123. Write the standard equation of a circle with its
center at the origin and radius 3.
a. x 2 + y 2 = 6
128. Find the length of a 40° arc in a circle with a radius
of 4.
8π
a.
9
b. 8π
9π
c.
8
16π
d.
9
2
b.
c.
d.
y
x2
+
=1
6
6
x2 + y2 = 9
x2 + y2 = 3
124. A rectangle has length l and width w. An
expression for its area is _____.
a. 2(l + w)
b.
c.
d.
2
l +w
l⋅w
lw
129. In this figure, each circle has a radius of 2 inches.
What is the area of the portion outside the circles
but inside the square? Express your answer in
terms of π.
2
125. The area of the parallelogram is _____.
a.
b.
680 sq. units
800 sq. units
c.
d.
40 111 sq. units
340 sq. units
a.
b.
c.
d.
21
24 − 8π
24 − 12π
144 − 4π
144 − 36π
130. A survey about the student government program at
the school found that 350 students wanted
after-school student government programs, 210
students wanted student government classes during
the day, and 140 students thought that the school
should have no student government program. If a
circle graph were made from this data, what would
be the measure of the central angle for the
"in-school" group?
a. 110°
b. 108°
c. 210°
d. 205°
134. Find the exact volume of a cylinder that has a
height of 18 inches and a radius of 8 inches.
a. 384π in 3
b. 288π in 3
c. 1152π in 3
d. 144π in 3
135. Find the volume of the right triangular prism.
131. Find the area of the shaded region.
a.
b.
c.
d.
a.
b.
c.
d.
153.94 cm2
30.79 cm2
123.15 cm2
38.48 cm2
210 m3
31 m3
105 m3
20.5 m3
136. A cylindrical vase has a diameter of 4 inches and a
height of 14 inches. You place some marbles at the
bottom of the vase that take up about 38 cubic
inches. You fill vase with water up to 3 inches from
the top. Write an expression you can use to
determine the approximate volume of water in the
vase?
2
a. π (4) (14) − 38
132. Find the area of an equilateral triangle with side
length 14.
a. 21 3
b. 42
c. 98
d. 49 3
b.
133. An aquarium in a restaurant is a rectangular prism
and measures 4.5 feet by 4 feet by 2 feet. What is
the volume of the aquarium?
a. 32 cubic feet
b. 36 cubic feet
c. 10.5 cubic feet
d. 12.5 cubic feet
c.
d.
22
2
π (4) (14 − 3) − 38
2
π (2) (14 − 3) − 38
2
2
π (2) (14) − 3 (2) − 38
139. Find the volume of a sphere 4 ft in diameter. Use
π ≈ 3.14 and round your answer to the nearest
tenth.
a. 16.7 ft 3
b. 18.8 ft 3
c. 33.5 ft 3
d. 25.1 ft 3
137. The pyramid shown has a rectangular base and
faces that are isosceles triangles. Find its volume.
140. What is the volume of a sphere with diameter 9.4
feet?
a. 434.9 ft 3
b. 277.6 ft 3
c. 69.4 ft 3
d. 92.5 ft 3
a.
b.
c.
d.
80 ft 3
240 ft 3
34 ft 3
384 ft 3
Simplify:
141.
300
a. 10 30
b. 10 3
c.
30
d. 3 10
142.
200
a. 10
b. 5
c. 50
d. 20
138. A pyramid-shaped puzzle exactly fits its cubic
storage box. The space between the puzzle and the
sides of the box is filled with a light-weight plastic
foam to help protect the puzzle during shipping.
2
2
2
2
Simplify:
143.
10 ⋅ 4
a. 2 10
b. 4 5
c. 2 5
d.
40
144.
30·
a. 9
b. 12
c. 6
d. 3
What is the volume of the foam?
a. 171.50 cm3
b. 228.67 cm3
c. 240.10 cm3
d. 114.33 cm3
23
12
20
10
10
40
145. 11
a.
b.
c.
d.
25
137.5
16
55
27.5
Simplify:
146.
a.
b.
c.
d.
49
100
7
50
3
4
7
100
7
10
147. Topics that you should know from Acc Alg
include, but are not limited to:
1) Angles with parallel lines and transversals
2) Triangle Congruences andSimiliarities
3) Properties of Quadrilaterals
4) Properties of Circles
5) Volume of solids
6) Triangle and Angle Proofs
7) Special Right Triangles
8) Right Triangle Trigonometry
9) Pythagorean Theorem
10) Triangle Midsegment
11) Distance and Midpoint Formulas
12) Area and Perimter Formulas
13) Slope and Parallel and Perpendicular Lines
148. This assignment will be due the first week of
school.There will be a test over this material
within the first week of school. This material
also covers half of the material on the Geometry
Milestones test you will take in December.
Good luck and work hard !
24
ID: A
Accelerated Geometry Summer Assignment
Answer Section
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
C
C
C
D
D
D
C
D
C
C
B
A
A
A
D
A
D
D
C
B
B
A
A
D
D
B
C
A
D
A
D
D
D
A
D
B
D
B
C
D
C
B
1
ID: A
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
81.
82.
83.
84.
85.
86.
87.
A
B
B
D
A
D
C
B
D
A
C
B
B
C
C
C
B
A
B
C
C
D
D
C
A
B
C
C
C
D
B
A
D
B
D
B
B
D
C
D
D
B
B
D
C
2
ID: A
88.
89.
90.
91.
92.
93.
94.
95.
96.
97.
98.
99.
100.
101.
102.
103.
104.
105.
106.
107.
108.
109.
110.
111.
112.
113.
114.
115.
116.
117.
118.
119.
120.
121.
122.
123.
124.
125.
126.
127.
128.
129.
130.
131.
132.
A
A
C
B
B
B
B
D
A
A
C
A
C
D
D
C
C
C
C
C
C
C
C
C
B
D
A
C
B
B
C
D
B
C
C
C
C
A
C
A
A
D
B
B
D
3
ID: A
133.
134.
135.
136.
137.
138.
139.
140.
141.
142.
143.
144.
145.
146.
147.
148.
B
C
C
C
A
B
C
A
B
A
A
C
C
D
b
d
4