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Worksheets

Similar Figures

Total questions: 13

Worksheet time: 36mins

Name
Class
Date
1.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
2.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
3.

Determine the relationship of the figures.

a)

Congruent

b)

Not Congruent

c)

Similar

4.

Determine the relationship of the figures.

a)

Congruent

b)

Not Congruent

c)

Similar

5.

Determine the relationship of the figures.

a)

Congruent

b)

Not Congruent

c)

Similar

6.

Are these shapes congruent or similar?

a)

Congruent

b)

Similar

7.

 ΔPQR is similar to ΔSTU\Delta PQR\ is\ similar\ to\ \Delta STU  What side corresponds to side UT?

a)

PQ

b)

RQ

c)

QR

d)

QP

8.

Which statement is true?

a)

A =E\angle A\ =\angle E

b)

F=B\angle F=\angle B

c)

E=B\angle E=\angle B

d)

C=D\angle C=\angle D

9.

Which angle corresponds with  T\angle T  ?

a)

 U\angle U  

b)

 Q\angle Q  

c)

 P\angle P  

d)

 R\angle R  

10.

Which angle corresponds with F\angle F  ?

a)

 A\angle A  

b)

 B\angle B  

c)

 D\angle D  

d)

 C\angle C  

11.

All angles in similar figures are congruent.

a)

True

b)

False

12.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
13.

Are the two figures similar? Explain

a)

Yes, because they are the same shape and side lengths are proportional.

b)

No, because although they are the same shape, the side lengths are not proportional.

c)

Yes, their corresponding sides are just flipped

d)

No, because the angles are different