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Geometry Chapter 11 Review Name
Multiple Choice
Identify the choice that best completes the statement
or answers the question.
1. Which statement is false?
a. Either pair of parallel sides can be used as the
bases of a parallelogram.
b. If two polygons are congruent, they have the same
area.
c. The height of a parallelogram is the longer
distance between the bases.
d. If you transform a rectangle to form other
parallelograms with the same base and height, the
area stays the same.
2. Find the area of the polygon.
a. 128 in.
2 c. 256 in.
2
b. 64 in.2 d. 96 in.
2
3. Find the height of a triangle with a base of 10 cm and
an area of 230 cm2.
a. 23 cm c. 92 cm
b. 46 cm d. 69 cm
4. Find the area of the polygon.
a. 32 ft
2 c. 80 ft
2
b. 96 ft2 d. 128 ft
2
5. Find the area (in square meters) of a rhombus with
vertices .
a. 50 m2 c. 20 m
2
b. 100 m2 d. 10 m
2
6. Find the area of the kite.
a. 40 in.
2 c. 42 in.
2
b. 100 in.2 d. 70 in.
2
7. A plot of land 500 feet wide and 2000 feet long borders
a similar, but smaller plot of land only 4% of the size of
the larger plot. Find the area of the smaller plot.
a. 40,000 ft2 c. 4000 ft
2
b. 160,000 ft2 d. 1600 ft
2
8. Find the diameter of a ball that rolls 100 feet after 60
revolutions. Round to the nearest hundredth.
a. 0.53 ft c. 5.24 ft
b. 0.27 ft d. 2.62 ft
9. Find the length of to the nearest hundredth.
a. 2.44 in. c. 15.35 in.
b. 7.68 in. d. 3.84 in.
10. . Find the distances between points A and B.
a. b. c. d.
11. Find the area of the figure, rounded to the nearest
hundredth.
a. 130.48 in.
2 c. 324.53 in.
2
b. 212.48 in.2 d. 280.96 in.
2
12. The apothem of a regular polygon inscribed in a circle
is
the _?_ .
a. distance from the center to any side of the polygon
b. center of the polygon
c. arc length intercepted by each side of the polygon
d. central angle of the polygon
13. Find the side length of a 15-sided regular polygon with
apothem a = 6 inches and area A = 282 square inches.
a. in.
c. in.
b. 94 in. d. in.
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14. Which is not true about the probability of an event?
a. It can be expressed as a fraction, decimal, or
percent.
b. It is the measure of the likelihood that an event
will occur.
c. The probability of event A can be written as P(A).
d. It is a number x such that 0 < x < 1.
15. Find the probability that a randomly chosen point in
the circle also lies in the triangle.
a. 28 % b. 41 % c. 56 % d. 45 %
16. Which statement is false?
a. In a parallelogram, either pair of parallel sides can
be used as the bases.
b. The height of a parallelogram is never equal to the
length of either of its sides.
c. A diagonal of a parallelogram divides it into two
congruent triangles.
d. If the length and width of a rectangle equal the
base and height of a parallelogram, their areas are
equal.
17. Find the area of the polygon.
a. 153 cm
2 c. 3600 cm
2
b. 2400 cm2 d. 5040 cm
2
18. Find the height of a triangle with a base of 63 inches
and an area of 283.5 square inches.
a. 2.25 in. c. 7 in.
b. 4.5 in. d. 9 in.
19. Find the area of the parallelogram.
a. 210 m
2 c. 330 m
2
b. 238 m2 d. 374 m
2
20. Find the area of a rhombus (in square inches) with
vertices
and .
a. 18 in.2 c. 50 in.
2
b. 30 in.2 d. 60 in.
2
21. Find the area of the kite.
a. 75 m
2
b. 150 m2
c. 180 m2
d. 375 m2
22. A plot of land has an area of 3.75 square kilometers.
Another plot of land is similar, and each of its side
lengths is 160% the lengths of the sides of the first plot.
Find the area of the second plot of land.
a. 6 km2 c. 9.6 km
2
b. 8.25 km2 d. 12 km
2
23. Find the radius of a wheel that travels 7068.58 inches
after 50 revolutions. Round to the nearest tenth of an
inch.
a. 22.5 in. c. 70.7 in.
b. 45 in. d. 90 in.
24. Find the circumference of .
a. 110 in.
b. 121.6 in.
c. 152 in.
d. 190 in.
25. The diameter of the sphere shown is 33, and .
Find the distances between A and B.
a. b. c. d.
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26. Find the area of the figure, rounded to the nearest
hundredth.
a. 167.73 ft
2
b. 104.12 ft2
c. 549.44 ft2
d. 589.94 ft2
27. Which statement is true?
a. An apothem of a regular polygon is the segment
that joins the center of the polygon to any of its
vertices.
b. The radius of a regular polygon is the segment
that joins the center of the polygon to the
midpoint of any side of the polygon.
c. The radius of a regular polygon is congruent to
the radius of the circle that circumscribes it.
d. The apothem of a regular polygon is congruent to
the radius of the polygon.
28. A regular octagon has a radius of 39 inches and a side
length of 30 inches. Find the area of the octagon.
Round to the nearest tenth if necessary.
a. 3072 in.2 c. 5120 in.
2
b. 4320 in.2 d. 9385.1 in
2
29. Find the probability that a randomly chosen point on
is not on .
a.
b.
c.
d.
30. Find the probability that a randomly chosen point in
the figure also lies in the innermost circle.
a. 4.2% b. 6% c. 6.25% d. 36%
Short Answer
31. Find the area of the figure. Round your answer to the
nearest inch.
32. Find the area of the figure. Round your answer to the
nearest square inch.
33. You own a warehouse that is 240 feet long and 160 feet
wide. You want to build a new warehouse that is 50%
longer and 50% wider than the other warehouse.
a. Find the area of the new warehouse.
b. Is it 50% more area than the smaller warehouse?
Explain.
34. A park is 350 feet long and 225 feet wide. Park
management wants to expand the park so that each side
is 25% longer.
a. What will be the ratio of the side lengths of the new
park to the side lengths of the existing park?
b. Describe how you can find the area of the expanded
park without finding its side lengths. Then find the area.
35. You have a circular clock with an 8-inch radius.
a. Find the circumference of the clock.
b. Find the area of the clock.
c. Find the smaller arc length created by the hands of the
clock when it is 10:30.
d. Find the area of the large sector formed when it is
1:30.
36. You have a circular clock with a 14-inch diameter.
a. Find the exact circumference of the clock.
b. Find the exact area of the clock.
c. Find the smaller arc length created by the hands of the
clock when it is 3:30. Round to the nearest hundredth.
d. Find the area of the larger sector formed when it is
6:15. Round to the nearest hundredth.
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Geometry Chapter 11 Review
Answer Section
MULTIPLE CHOICE
1. C
2. A
3. B
4. B
5. A
6. C
7. D
8. A
9. B
10. B
11. C
12. A
13. C
14. D
15. B
16. B
17. B
18. D
19. A
20. B
21. B
22. C
23. A
24. D
25. C
26. B
27. C
28. B
29. A
30. D
SHORT ANSWER
31. 1236 in.2
32. 1146
33. a. 86,400 ft2
b. No; the length and width ratio of the new
warehouse to the old warehouse is 3 : 2, so the area
ratio is 9 : 4.
34. a. 1: 1.25
b. Multiply the area of the existing park by the
square of 1.25; 123,046.875 ft2
35. a. 50.27 in.
b. 201.1 in.2
c. 18.85 in.
d. 125.66 in.2
36. a. .
b. .
c. 9.16 in.
d. 112.24 in.
