Worksheet on Similar Figures with Multiple Choice



Name:______________ Date: ______________

Similar Figures and Indirect Measurement

1. Parallelogram EFGH is similar to parallelogram WXYZ.

?

What is the length of [pic]?

a) 3 in b) 6 in c) 9 in

2. Lance the alien is 5 feet tall. His shadow is 8 feet long.

At the same time of day, a tree’s shadow is 32 feet long. What is the height of the tree?

a) 20 feet b) 24 feet c) 29 feet

3. Pentagon JKLMN is similar to pentagon VWXYZ.

What is the measurement of angle X?

a) 30( b) 60( c) 150(

4. Triangle LMN is similar to triangle XYZ.

What is the length of [pic]?

a) 8 feet b) 6 feet c) 4 feet

5. Triangle PQR is similar to triangle DEF as shown.

Which describes the relationship between the corresponding sides of the two triangles?

a) [pic] b) [pic] c) [pic]

6. A six-foot-tall person is standing next to a flagpole. The person is casting a shadow [pic] feet in length, while the flagpole is casting a shadow 5 feet in length. How tall is the flagpole?

a) 30 ft b) 25 ft c) 20 ft

7. (PQR is similar to (XYZ.

?

What is the length of XZ?

a) 21 cm b) 50 cm c) 60cm

8. The shadow cast by a one-foot ruler is 8 inches long. At the same time, the shadow cast by a pine tree is 24 feet long.

What is the height, in feet, of the pine tree?

a) 3 feet b) 16 feet c) 36 feet

9. Mr. Smith is having some photos enlarged for his studio and he needs help with one of the dimensions of a similar shape.

He wants to enlarge a photo that is 5 inches wide by 7 inches tall to have the dimensions that is 10 inches wide and ________ inches tall. How many inches will the new height of the photo be?

a) 10 b) 14 c) 21

10. (ABC is similar to (XYZ.

What is the length of segment [pic]?

a) 5 cm b) 7.5 cm c) 9 cm

?

11. (HIJ is similar to (STR.

What is the length of segment TS?

a) 2 b) 4 c) 8

12. Alanis is moving and needs to pack two mirrors.

The largest mirror fits in a box that is 18 inches wide by 20 inches long.

Her smaller mirror is similar in proportion to the larger mirror.

Alanis determines that the width of the smaller box needs to be a minimum of 9 inches.

What should be the minimum length of the box to hold the smaller mirror?

a) 10 inches b) 8 inches c) 6 inches

For questions 13-15, use the following word bank to make each statement true

13. If two figures are similar, they have the same ______________________, but not

necessarily the same _______________.

14. If two figures are similar, the corresponding angles are __________________.

15. If two figures are similar, the corresponding sides are ___________________.

-----------------------

Y

X

6 in

G

F

2 in

Z

W

H

E

3 in

[pic]

[pic]

[pic]

5 ft

32 ft

8 ft

X

?

L

Y

W

60(

150(

M

K

J N V Z

L

Z

18 feet

8 feet

24 feet

Y ? X

N M

E

6 cm

Q

4 cm

D 9 cm F

P 6 cm R

x

6 feet

5 feet

1.5 feet

Y

Q

6

30

5

R

Z

10

P

X

[pic]

24 feet

8 inches

1 foot

X

10 cm

8 cm

Z

Y

12 cm

A

6 cm

C

B

H

4

6

J

I

S

?

12

R

T

A. Proportional

B. Size

C. Shape

D. Congruent

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