Geometry Chapter 8 Test version A with solutions 2-27

Geometry Chapter 8 Test
Form A
Indicate the answer choice that best completes the statement or answers the question.
1. Find the geometric mean between 7 and 12.
a 84
b 9.5
c
d2
2. In
PQR, RS = 4 and QS = 6. Find PS.
a2
b5
c 24
3. Find y.
a 12
d2
b 11
c9
d5
4. Find x.
5. Find x.
a3
b
c 4.5
d 18
a3
b4
c4
d2
6. Find the length of the hypotenuse of a right triangle with legs that measure 5 and 7.
a 12
b
c
d
7. Which set of measures could represent the lengths of the sides of a right triangle?
a 9, 40, 41
b 8, 30, 31
c 7, 8, 15
d
,
,
8. Find c.
a7
9. Find x to the nearest tenth.
b7
c7
d 14
10. Find x.
a4
a 5.8
b 5.9
c 8.1
d 7.3
11. Find x to the nearest degree.
b
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c4
d8
a 56
b 45
c 34
d 29
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Geometry Chapter 8 Test
Form A
12. Find the perimeter of a square if the length of its diagonal is 12 inches. Round to the nearest tenth.
a 8.5 in.
b 33.9 in.
c 48 in.
d 67.9 in.
13. If a 20-foot ladder makes a 65 angle with the ground, how many feet up a wall will it reach? Round your answer to
the nearest tenth.
a 8.5 ft
b 10 ft
c 18.1 ft
d 42.9 ft
14. A ship’s sonar finds that the angle of depression to a wreck on the bottom of the ocean is 12.5 . If a point on the ocean
floor is 60 meters directly below the ship, how many meters is it from that point on the ocean floor to the wreck? Round
your answer to the nearest tenth.
a 277.2 m
b 270.6 m
c 61.5 m
d 13.3 m
15. Find the angle of elevation of the sun if a building 100 feet tall casts a shadow 150 feet long. Round to the nearest
degree.
a 60
b 48
c 42
d 34º
16. When the sun’s angle of elevation is 40 , a tree casts a 75-foot shadow on the ground. Find the height of the tree to the
nearest tenth of a foot.
17. In right
18. In
CDE, m C = 52°, m D = 38°, and CD = 28.6. Find DE to the nearest hundredth.
, 56, and 17. Find m P to the nearest tenth of a degree.
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Geometry Chapter 8 Test
Form A
Answer Key
1. d
2. d
3. c
4. a
5. d
6. d
7. a
8. b
9. b
10. c
11. a
12. b
13. c
14. b
15. d
16.
17.
18.
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