Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Similar Triangles Polygons

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

State the postulate that proves these triangles are similar and complete the similarity statement.

a)

SSS

b)

SAS

c)

ΔFGH

d)

ΔGFH

2.

State the postulate that proves these triangles are similar and complete the similarity statement.

a)

AA, ΔTVU

b)

AA, ΔTUV

c)

SAS, ΔVUT

d)

Not similar

3.

Are the triangles similar?

a)

Yes

b)

No

4.

Determine if the triangles are similar. Justify.

a)

Yes, by SSS.

b)

Yes, by SAS. Scale Factor is 1:2.

c)

Yes, by SAS. Scale Factor is 3:1.

d)

No, not similar.

5.

Determine if the triangles are similar. Justify.

a)

Yes, SAS.

b)

Yes, AA.

c)

Yes, SSS.

d)

No, not similar.

6.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

7.

Which triangles are similar to triangle A?

a)

B

b)

C

c)

Both

d)

None

8.

The two polygons are similar. If 6 corresponds to 4, what is the value of x?

a)

1

b)

1.8

c)

2

d)

3.5

9.

Find the missing side if you know the figures are similar and have the same orientation.

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

10.

Which triangle is similar to the above triangle ?

a)

A

b)

B

c)

C

d)

D

11.

State the postulate that proves these triangles are similar and complete the similarity statement.

a)

SSS, ΔVML

b)

SSS, ΔVLM

c)

SAS, ΔVML

d)

SAS, ΔVLM

12.

Triangle ABC will be dilated by a scale factor of 1/2 about the point (-4, -1). What will the coordinate of B' be?

a)

(0, 1.5))

b)

(-2, 2)

c)

(-2, 1)

d)

(-6, -3)

13.

Which is the center point is the center of dilation?

a)

A

b)

B

c)

C

d)

D

14.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

15.

Solve for x 

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

16.

What is the scale factor from MNOP to ABCD?

a)

2:3

b)

1:2

c)

3:2

d)

2:1

17.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

18.

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

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

19.

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

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

20.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE