Download Geometry EOC Review Packet

Name
Class
Date
GEOMETRY EOC REVIEW
1. Draw a net for the figure.
Use the figure below for Exercises 2-4.
2. Name two points that are 4 units from K.
3. Name a segment congruent to
GJ .
4. Name the coordinate of the midpoint of
NH .
Use the figure at the right for Exercises 5-8.
5. Name a pair of vertical angles.
6. Name a pair of adjacent angles with vertex M.
7. Name a pair of adjacent angles with vertex S.
8. Name a linear pair
9.
GI bisects DGH so that mDGI is x — 3 and mIGH is 2x — 13. What is x?
10. 1 and 2 are supplementary angles. m1 is 4y + 7 and m2 is 9y + 4. What is
m2?
11. The midpoint of
SM is (5, —11). One endpoint is S(3, 5). What are the
coordinates of endpoint M?
12. What is the distance between points M(6, –16) and Z(–1, 14), to the nearest
tenth?
13. What is the perimeter of a rectangle with base 10 in. and height 13 in.?
14. What is the area of a triangle with base 19 in. and height 11 in.?
15. What is the area of a circle with a radius of 15 in., to the nearest tenth?
Use inductive reasoning to describe each pattern and find the next two terms of the
sequence.
16. 5, 1, 7, 0, 9, 1, 11, . . .
Find a counterexample for each statement.
17.
An apple is a red fruit.
18.
If a parallelogram has four congruent sides, then it is a square.
Write the converse, inverse, and contrapositive for each true statement.
Determine the truth value for each.
19. If a polygon is a triangle, then it has exactly three sides.
20. If Jerrod is in 11th grade, then Jerrod is in high school.
Use the Law of Detachment and the Law of Syllogism to make any possible
conclusion. Write not possible if you cannot make any conclusion.
21. If you want to get a driver’s license, you must take a driver’s education course. John
wants to get a driver’s license.
22. If you miss more than five days of mathematics class, then you will not get a
good grade. If you do not get a good grade in mathematics, then you will not be
on the honor roll.
23. Marla likes milk. She also likes orange juice. If Marla chooses milk to drink, she
cannot have orange juice
Name the property that justifies each statement.
24. mABC = mDEF and mDEF = mABC
25. AB = CD, CD = EF. Therefore, AB = EF.
26. A  A
Find the value of the variable.
27.
28.
Use the figure to the right for Exercises 29-38.
For Exercises 29-31, suppose a || b and c || d.
29. 2 and 10 are what kind of angles?
30. 3 and what angle are alternate interior angles?
31. 9 and 8 are what kind of angles?
32. Which angle could you show is congruent to 11 to prove a || b?
33. What relationship between 6 and 11 shows c || d?
For Exercises 6–10, suppose a || b and c || d.
34. If m6 = 50, then find m11.
35. If m2 = 70, then find m6.
36. If m1 = 130, then find m5.
37. If m7 = 110, then find m10.
38. If m4 = 45, then find m12.
Find the values of the variables.
39.
40.
41.
42.
Problems 43-51 state the postulate or theorem you would use to prove each pair
of triangles congruent. If the triangles cannot be proven congruent, write not
enough information.
43.
44.
45..
46.
47.
48.
49.
50.
51.
Find the value of x and y.
52.
53.
53.
54.
Identify the two statements that contradict each other.
55. III. A and B are obtuse angles.
III. mA = 110
III. A and B are supplementary.
56. III. ABCD is a quadrilateral.
III. ABCD is a square.
III. mA > mD
List the angles of ∆ABC from smallest to largest.
57. AB = 3, BC = 4, CA = 5
58. AB = 20, BC = 12, CA = 10
List the sides of ∆ABC from shortest to longest.
59. mA = 30, mB = 60, mC = 90
60. mA = 100, mB = 20, mC = 60
Algebra Find the value of x.
61.
62.
Find the values of the variables in each parallelogram.
63.
64.
Find the values of the variable(s) in each figure.
65.
66.
67.
68.
69.
70.
71.
72.
73.
Solve each proportion.
74.
12 4

x 7
75.
x
7

10 20
77. Are the polygons similar? If they are, write a similarity
statement and give the scale factor. If not, explain.
78. The scale of a map is 1 in. = 25 mi. On the map, the distance
between two cities is 5.25 in. What is the actual distance?
79. ABCD ~ JKLM. What is the value of x?
76.
x
5

x5 7
Determine whether the triangles are similar. If so, write the similarity statement and name the
postulate or theorem you used. If not, explain.
80.
81.
82.
83.
84. A person 2 m tall casts a shadow 5 m long. At the same time, a building casts a shadow 24 m
long. How tall is the building?
85. An animal shelter has 104 cats and dogs. The ratio of cats to dogs is 5 : 3. How many
cats
are at the shelter?
86. The sides of a triangle are in the extended ratio of 3 : 2 : 4. If the length of the shortest side is 6
cm, what is the length of the longest side?
Find the value of each variable. Round to the nearest hundredth if necessary.
87.
88.
90.
91.
89.
92.
Write each ratio.
93. sin A
94. cos A
95. tan A
96. sin B
Find the value of x to the nearest tenth.
97.
98.
Given the lengths of the sides of a
triangle, identify the triangle as
acute, right, or obtuse.
99. 37, 12, 34
100. 5, 12, 13
102. ∆R’S’T’ is a translation image of
∆RST. What is a rule for the translation?
Find the coordinates of the vertices of the image of
QRST for each transformation.
103. reflection across the y-axis
104. rotation of 270° about the point (0, 0)
105. translation ( x, y )  ( x  2, y  5)
What is the area of each figure below? Round to
the nearest tenth.
106.
107.
108.
109.
110.
101. 20, 21, 28
Find the area of each regular polygon. Round to
the nearest tenth.
111.
112.
Find the area of each shaded region to the nearest
hundredth. Use 3.14 for π
113.
Describe the cross section formed in each diagram.
114.
115.
116. A food company makes regular and tall soup cans. The area of the base of both
cans is 30 cm2. The volume of the regular can is 270 cm3. The tall can is 2 cm taller.
What is the volume of the tall soup can?
Find the surface area and volume of each figure to the nearest tenth.
117.
118.
Find the surface area and volume of each figure. Round to the nearest tenth.
119.
120.
121.
122.
123. Write an equation of the circle with center (0, 2) that passes through (5, 2).
Write the standard equation of each circle.
124
125.