Module 7 Quiz
Similar Figures and Scale Drawings
Quiz
Choose the best answer.
1. Which of the following pairs of
triangles are similar?
A
B
C
D
2. A 5-foot pole casts a shadow of
15 feet. How tall is a tree that casts
a shadow of 33 feet?
[pic]
F 11 ft H 99 ft
G 19 ft J 165 ft
3. A photograph of a painting measures
13 units by 17 units. If the scale
factor is [pic], what is the actual size of
the painting?
A 26 ( 34 C 39 ( 51
B 4.3 ( 5.7 D 169 ( 289
4. Find the unknown lengths, a and b,
in the pair of similar triangles.
[pic]
F a ( 5 m and b ( 30 m
G a ( 10 m and b ( 25 m
H a ( 25 m and b ( 10 m
J a ( 30 m and b ( 5 m
5. On a map, the distance between two
cities is 7.3 cm. What is the actual
distance between these two cities if the map scale is 1 cm:50 km?
A 365 cm C 400 km
B 365 km D 500 km
6. A building with a height of 32 m casts
a shadow that is 20 m long. A person
standing next to the building casts a
shadow that is 1.2 m long. How tall is
the person?
F 0.75 m H 1.92 m
G 1.6 m J 2.8 m
7. On a scale drawing with a scale of
[pic], the height of a building is
9.75 inches. How tall is the actual
building?
A 65 feet C 780 feet
B 80 feet D 9,360 feet
Similar Figures and Scale Drawings
Quiz, continued
Free Response
8. Write a set of side lengths for a
triangle similar to the triangle shown
below.
[pic]
9. A telephone pole is 60 feet tall. It casts a shadow that is 24 feet long. A tree that is next to the telephone pole is 15 feet tall. How long is the shadow of the tree?
10. The two triangles are similar. Find x.
[pic]
11. A building with a height of 40 ft casts
a shadow that is 16 ft long. A person
standing next to the building casts a
shadow that is 2 ft long. How tall is
the person?
12. On a scale drawing with a scale of
[pic], the height of a building is
8 inches. How tall is the actual
building in feet?
13. On a scale drawing with a scale of
1 cm:3 m, the height of a tree is
5 cm. How tall is the actual tree?
14. A building with a height of 48 m casts
a shadow that is 30 m long. A person
standing next to the building casts a
shadow that is 0.8 m long. How tall is
the person?
15. On a scale drawing with a scale of
[pic], the height of a building is
12.6 inches. How tall is the actual
building?
16. On a scale drawing with a scale of
1 cm:0.9 m, the height of a tree is
1.2 cm. How tall is the actual tree?
Unit 3 Ratios and Proportional Relationships
ANSWERS
Module 7 Quiz
1. B
2. H
3. C
4. J
5. A
6. H
7. B
8. F
9. C
10. $0.08
11. 55 miles per hour
12. Answers will vary. Possible answer: 6:5.
13. Answers will vary. Possible answer: 28:10.
14. Answers may vary. Sample: [pic]
15. Answers may vary. Sample: [pic]
16. 1
17. 60 minutes
18. x = 45
19. 9 hours
Module 8 Quiz
1. B
2. F
3. B
4. H
5. A
6. H
7. A
8. Answers will vary. Possible answer: 12, 12, 20
9. 6 feet
10. x ’ 30
11. 5 feet
12. 80 feet
13. 15 m
14. 1.28 m
15. 630 inches or 52.5 feet
16. 1.08 m or 108 cm
Module 9 Quiz
1. C
2. J
3. B
4. G
5. B
6. H
7. B
8. G
9. B
10. H
11. C
12. $28
13. 6%
14. $480
15. $360
16. $7,400
Unit 3 Test A
1. B
2. C
3. C
4. A
5. A
6. B
7. A
8. B
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