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Missing Sides of Similar Figures

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

2.

Triangle ABC is similar to triangle XYZ.  What is the length of line segment BC?

a)

5 cm

b)

7.5 cm

c)

8 cm

d)

9 cm

3.

Which side length corresponds with EF?

a)

ML

b)

LM

c)

OL

d)

EH

4.
Question Image

Match the corresponding sides.

a)

NO

1.

TU

b)

MN

2.

ST

c)

LM

3.

RS

d)

OL

4.

UR

5.

Using a proportion, find the height of the tree.

a)

x = 0.0625 ft.

b)

1.6 feet

c)

x = 16 ft.

6.

Solve for f.

a)

6

b)

4

c)

3

d)

8

7.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

8.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

9.

Find x

(be careful-be sure to draw them separate and label the side lengths correctly.) *Note the length of PS is 20.

a)

3

b)

4

c)

5

d)

6

10.

Find x

a)

6

b)

7.5

c)

10

d)

12

11.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

12.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

13.

Which proportion is true?

a)

y0.6=0.70.56\frac{y}{0.6}=\frac{0.7}{0.56}

b)

yx=1.251\frac{y}{x}=\frac{1.25}{1}

c)

x1=0.51.05\frac{x}{1}=\frac{0.5}{1.05}

d)

x0.5=0.61.25\frac{x}{0.5}=\frac{0.6}{1.25}

14.

Which side length corresponds with EF?

a)

ML

b)

LM

c)

OL

d)

EH

15.

The pair of figures is similar. Find the missing side.

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5