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Worksheets

Similar polygons

Total questions: 17

Worksheet time: 51mins

Name
Class
Date
1.
When figures are similar, their corresponding sides are__________________.
a)
congruent
b)
proportional
c)
invisible
2.
When figures are similar, their corresponding angles are__________________.
a)
congruent
b)
proportional
c)
yellow
d)
obtuse
3.

Is the presented extended proportion for the corresponding sides of the similar polygons correct?

a)

Yes

b)

No

4.

Which of the following angles are congruent pairs of the similar polygons in the image?

a)

∠Q≅ ∠M

b)

∠N≅ ∠S

c)

∠O≅ ∠R

d)

∠M≅ ∠T

5.

State if the polygons are similar.

a)

similar

b)

Not similar

6.

Determine whether the polygons are similar.

a)

Similar

b)

Not similar

7.

Which is the scale factor if they where similar? Write your answer in ratio form. Example: 10:13.

If not similar, write "Not similar".

(a)  

8.

Which is the similarity statement for the polygons shown?

a)

ADBC~ZXYW

b)

AWBZ~DXZC

c)

ABCD~XYZW

d)

ABCD~WXYZ

9.

Which is the scale factor of the similar polygons?

(a)  

10.


∆RST ~ ∆UVW. What is the value of x?

(a)  

11.


∆RST ~ ∆UVW. What is the scale factor?

(a)  

12.

The triangles are similar. Find the similarity ratio of the first to the second.

a)

1/2

b)

3/5

c)

1/3

d)

2/5

13.
What is geometric mean of 4 and 9?
a)
5
b)
6
c)
7
d)
8
14.
Find the value of y. 
a)
5
b)
10√30
c)
√300
d)
10√3
15.
Find the geometric mean for 6 and 8.
a)
16√3
b)
4√3
c)
3√4
d)
3√16
16.

What are the values of x and y?

a)

x = √11; y = 3√11

b)

x = 10; y = 8

c)

x = √10; y = 3√10

d)

x = 10; y = √90

17.

Solve for x and y.

a)

x=4√3,  y=2√3

b)

x=48, y=36

c)

x=36, y=4

d)

x=√6, y=4√3