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Worksheets

Similarity Review

Total questions: 17

Worksheet time: 36mins

Name
Class
Date
1.

State the postulate used to show the triangles are similar.

a)

AA~

b)

SAS~

c)

SSS~

d)

none

2.

State the postulate used to show the triangles are similar.

a)

AA~

b)

SAS~

c)

SSS~

d)

none

3.

State the postulate used to show the triangles are similar.

a)

AA~

b)

SAS~

c)

SSS~

d)

none

4.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
5.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
6.

Find a.

a)

80

b)

16

c)

20

d)

5

7.

Are the triangles similar? If so, explain why.

a)

Yes, by SSS.

b)

Yes, by SAS.

c)

Yes, by AA.

d)

No

8.

What is the scale factor of Triangle PQT to Triangle PRS?

a)

4:1

b)

30:15

c)

1:2

d)

3:5

9.

Find x.

a)

11

b)

12

c)

20

d)

2

10.

What is the value of x?

a)

11

b)

8

c)

9

d)

10

11.
11. ΔABC is a right triangle with the dimensions shown. Which of the following figures is similar to ΔABC?
a)
FIGURE A
b)
FIGURE B
c)
FIGURE C
d)
FIGURE D
12.

The scale factor of two similar rectangles is 5:7, the perimeter of the bigger rectangle is 42, what is the perimeter of the smaller one?

(a)  

13.
a)

Yes, by SAS~

b)

No, there is not enough information

c)

Yes, by AA~

d)

Yes, by SSS~

14.



(a)  

15.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
16.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
17.

Simplify the ratio. (Hint: 1 ft = 12 in)

a)

1:2

b)

2:1

c)

1:6

d)

4:2