Geometry Honors ch 10 test review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Find the area. The figure is not drawn to scale.
____
1.
7.6 cm
3.7 cm
a.
____
b.
2.
d.
b. 69 in.2
c. 138 in.2
d. 1440 in.2
b. 6.5 yd2
c. 13 yd2
d. 15 yd2
c. 21.6 cm2
d. 7.4 cm2
36 in.
40 in.
33 in.
a. 1188 in.2
____
c.
3.
3 yd
10 yd
a. 30 yd2
____
4.
2 cm
5.4 cm
a. 10.8 cm2
b. 5.4 cm2
____
5.
9 cm
8 cm
13 cm
9 cm
a. 144.5 cm2
____
d. 50 cm2
b. 455 cm
c. 14,700 cm2
d. 12 cm
c. 40.5
d. 35
7. What is the height h of the parallelogram?
Not drawn to scale
a. 32
____
c. 172 cm2
6. The area of a parallelogram is 420 cm2 and the height is 35 cm. Find the corresponding base.
a. 385 cm
____
11 cm
b. 127 cm2
b. 28
8. Find the area of an equilateral triangle with a side of 12.
a. 36
b. 72
c. 36
d. 3
____
9. When designing a building, you must be sure that the building can withstand hurricane-force winds,
which have a velocity of 74 mi/h or more. The formula
gives the force F in pounds
exerted by a wind blowing against a flat surface. A is the area of the surface in square feet, and v is the
wind velocity in miles per hour. How much force is exerted by a wind blowing at 81 mi/h against the side
of the building shown?
7.2 ft
12.9 ft
25 ft
Not drawn to scale
a. about 54 tons
b. about 5 tons
c. about 10,826 tons
d. about 28 tons
Find the area of the trapezoid. Leave your answer in simplest radical form.
____ 10.
8 in.
7 in.
8 in.
12 in.
Not drawn to scale
a. 77.2 in.2
b. 80 in.2
c. 75 in.2
d. 70 in.2
____ 11.
8 ft
10 ft
60°
Not drawn to scale
a. 40
ft2
b. 16
ft2
c. 24
ft2
d. 32
ft2
____ 12. What is the area of the kite?
10 ft
3 ft
3 ft
20 ft
a. 180 ft2
b. 90 ft2
c. 72 ft2
d. 18 ft2
____ 13. Find the area of the rhombus. Leave your answer in simplest radical form.
60°
5
Not drawn to scale
a. 50
b. 10 3
c. 25 6
d. 50 3
c. 128 m2
d. 32 m2
____ 14. Find the area of the rhombus.
8m
8m
8m
8m
a. 12 m2
b. 4096 m2
____ 15. The area of a regular hexagon is 35 in. 2 Find the length of a side. Round your answer to the nearest tenth.
a. 3.7 in.
b. 4.8 in.
c. 6.4 in.
d. 13.5 in.
____ 16. Find the area of a regular hexagon with side length of 8 m. Round your answer to the nearest tenth.
a. 55.4 m2
b. 166.3 m2
c. 83.1 m2
d. 288 m2
____ 17. A regular hexagon has a perimeter of 150 m. Find its area. Leave your answer in simplest radical form.
a. 5625
m2
b.
1875
2
m2
c.
25
4
m2
d.
5625
2
m2
For 18-21 Find the area of the regular polygon. Give the answer to the nearest tenth.
____ 18. decagon with a side of 4 cm
a. 123.1 cm
b. 129.4 cm
c. 246.2 cm
d. 139.8 cm
____ 19. dodecagon with a perimeter of 108 cm
a. 1813.8 cm
b. 906.9 cm
c. 923.6 cm
d. 938.9 cm
c. 30.4 m
d. 154.2 m
____
20.pentagon with a radius of 8 m
a. 304.3 m
____
b. 152.2 m
21.square with a radius of 16 ft
a. 520 ft
b. 512 ft
c. 256 ft
d. 1024 ft
____ 22. The Ruffs are planning to buy an above-ground swimming pool shaped as a regular octagon. The radius
of the octagon is 9 feet. To the nearest tenth, find the area of the surface of the water in the pool.
a. 458.2 ft
b. 553.1 ft
c. 94.8 ft
d. 228.7 ft
Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.
____ 23.
4.7 m
6.1 m
a. 10.5 m
b. 9.8 m
c. 19.6 m
d. 21.0 m
c. 23.1 cm
d. 185.5 cm
____ 24.
15 cm
9 cm
a. 126.9 cm
b. 63.4 cm
____ 25. Name the major arc and find its measure.
A
D
) 50°
C
a.
B
b.
; 50
; 50
c.
; 310
d.
; 310
____ 26. Find the measure of
.
The figure is not drawn to scale.
A
E
D
27°
103°
O
50°
B
35°
C
a. 130
b. 230
____ 27. The circumference of a circle is 60
a. 60 cm; 30 cm; 23.3 cm
b. 60 cm; 120 cm; 11.7 cm
____ 28. Find the length of
c. 140
d. 120
cm. Find the diameter, the radius, and the length of an arc of 140°.
c. 120 cm; 30 cm; 160 cm
d. 30 cm; 60 cm; 11.7 cm
. Leave your answer in terms of
.
X
8m
Y
P
a. 24
m
b. 12
m
c. 4
m
d. 720
m
Find the area of the circle. Leave your answer in terms of
.
____ 29.
3.6 m
a. 25.92
m2
b. 1.8
m2
c. 12.96
m2
d. 46.66
c. 16.81
m2
d. 11.2
m2
____ 30.
4.1 m
a. 4.2025
m2
b. 8.405
m2
m2
____ 31. Find the area of the figure to the nearest tenth.
105°
9
a. 74.2 in.2
____
32.
b. 8.2 in.2
c. 148.4 in.2
Find the exact area of the shaded region.
a. 49π cm2
b. 7π cm2
c. 33π cm2
d. none of these
d. 23.6 in.2
____ 33. Find the probability that a point chosen at random from
is on the segment
.
J K L M N O P Q R S T
0
a.
1
2
3
4
5
6
b.
1
2
7
8
4
5
9
10
c.
5
6
d.
2
3
____ 34. Lenny’s favorite radio station has this hourly schedule: news 13 min, commercials 2 min, music 45 min.
If Lenny chooses a time of day at random to turn on the radio to his favorite station, what is the
probability that he will hear the news?
a. 13
b. 3
c. 1
d. 13
45
4
30
60
____ 35. What is the probability that a point chosen at random on the grid will lie in the unshaded region?
a.
b.
c.
d.
____ 36. Find the probability that a point chosen at random will lie in the shaded area.
14
a. 0.32
b. 0.62
c. 0.94
d. 0.02
____
37.
In this figure, each circle has a radius of 6 inches. What is the area of the portion outside
the circles but inside the square? Express your answer in terms of .
36 in.
[A] 72 – 216 [B] 1296 – 36 [C] 72 – 36 [D] 1296 – 324
____
38. In this figure, each circle is congruent. What is the area of the portion outside the circles but
inside the rectangle? Express your answer in terms of .
[A] 216 - 54π [B] 144 - 54π [C] 216 - 36π [D] 144 - 9π
ch 10
Answer Section
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