Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Similar Triangles & Scale Factor Practice 1

Total questions: 18

Worksheet time: 25mins

Name
Class
Date
1.

The figures are similar.

Find the missing side.

a)

30

b)

34

c)

36

d)

38

e)

40

2.

The figures are similar.

Find the missing side.

a)

24

b)

20

c)

22

d)

18

e)

26

3.

The figures are similar.

Find the missing side.

a)

10

b)

10.5

c)

12

d)

12.5

e)

16

4.

The figures are similar.

Find the missing side.

a)

9

b)

12

c)

8.5

d)

6

e)

10

5.

The figures are similar.

Find the missing side.

a)

18.5

b)

20

c)

22.5

d)

24.5

e)

21

6.

The figures are similar.

Find the missing side.

a)

52.5

b)

50

c)

48.5

d)

54

e)

60

7.

The figures are similar.

Find the missing side.

a)

26

b)

27.6

c)

25.2

d)

28.8

e)

30.4

8.

What is the scale factor from ΔABC to ΔDEF?

a)

1/2

b)

7/3

c)

2

d)

10/3

e)

3/10

9.

What is the scale factor from ΔABC to ΔXYZ?

a)

4/5

b)

3/2

c)

2

d)

5/2

e)

5/4

10.

Given that Triangle ABC is similar to Triangle DEF. Find the angle B.

a)

60⁰

b)

42⁰

c)

79⁰

d)

180⁰

11.

Given that Triangle ABC is similar to Triangle DEF. Find the angle F.

a)

60⁰

b)

42⁰

c)

79⁰

d)

180⁰

12.

Name the triangle similar to triangle BCA.

a)

Triangle EFD

b)

Triangle FDE

c)

Triangle DEF

d)

Triangle EAD

13.

If the linear scale factor is 4, what is the area scale factor?

a)

2

b)

8

c)

16

d)

25

14.

Two shapes are ___________ if their corresponding sides are proportional and their corresponding angles are congruent.

a)

Similar

b)

Ratio

c)

Scale factor

d)

Not similar

15.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
16.
A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
17.

 ΔPQR∼ΔXYZ\Delta PQR\sim\Delta XYZ  
The perimeter of PQR is 21 m.
What is the perimeter of XYZ?

a)

21 m

b)

35 m

c)

90 m

d)

126 m

e)

756 m

18.

Two similar triangles have a scale factor of ⅔. The area of the larger triangle is 12 cm2.

What is the area of the smaller triangle?

a)

4 cm2

b)

8 cm2

c)

9 cm2

d)

12 cm2

e)

24 cm2