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Worksheets

Similarity

Total questions: 19

Worksheet time: 55mins

Name
Class
Date
1.
Which of the following is NOT true about similar figures?
a)
A) Similar figures always have the same shape.
b)
B) Similar figures always have the same size.
c)
C) Similar figures always have corresponding angles that are equal.
d)
D) Similar figures always have corresponding sides that are proportional.
2.

Give the reason for similarity

a)

AA

b)

SAS

c)

SSS

d)

Not similar

3.

Why are the triangles similar?

a)

AA

b)

SAS

c)

SSS

d)

Not similar

4.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Not similar

5.

If the triangles are similar, state how.

a)

AA

b)

SAS

c)

SSS

d)

Not similar

6.

If the triangles are similar, state how.

a)

SAS

b)

AA

c)

SSS

d)

Not similar

7.

Calculate the value of the scale factor between the 2 triangles

a)

2.5

b)

3

c)

3.5

d)

4

8.
The two right triangles below are similar. What is x, the missing side length in triangle DEF? 
a)
3.75
b)
9.75
c)
10
d)
12
9.
Solve for x. The two figures are similar.
a)
x = 6
b)
x = 9
c)
x = 7
d)
x = `0
10.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
11.
What is the height of the Tree?
a)
20
b)
15
c)
30
d)
10
12.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
13.
Find the missing perimeter.
a)
15
b)
20
c)
25
d)
30
14.
Find the missing area. 
a)
0
b)
12
c)
24
d)
30
15.
Find the missing area.
a)
15
b)
20
c)
25
d)
30
16.
Find the missing side length.
a)
32
b)
35
c)
20
d)
16
17.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
18.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
19.
Find the height of the person using what you know about similar triangles.
a)
4 ft
b)
6.25 ft
c)
1.25 ft
d)
5.75 ft