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Worksheets

Similarities

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.

Triangle DEF is a dilation of triangle ABC

with a scale factor 2. The largest angle in

triangle ABC measures 82 ̊. What is the

largest angle measure in triangle DEF?

a)

41 degrees

b)

82 degrees

c)

123 degrees

d)

164 degrees

2.

Based on what you know about

corresponding angles and sides in similar

polygons, are these two figures similar?

a)

Yes, the corresponding sides have the same scale factor

b)

No, the corresponding sides to not share a scale factor

3.

Are these two triangles similar?

a)

yes

b)

no

4.

Which triangle is not similar?

a)

A

b)

B

c)

C

d)

D

5.

What do you

need

to prove the triangles

are similar?

a)

One corresponding side

b)

One corresponding angle

c)

One corresponding side and

angle

d)

Two pairs of congruent angles

6.

The two triangles shown are similar. What is the

value of dc\frac{d}{c}  ?

a)

1.2 or

b)

0.83 or

c)

2.5 or

d)

0.4 or

7.

Triangle A has side lengths 3, 4, and 5.

Triangle B has side lengths 6, 7, and 8.

Are these similar triangles?

a)

Yes the quotients of the sides have the same ratio

b)

No the quotients of the sides do not have the same ratio

8.

What is the quotient of the medium side divided by the smaller side?

a)

1.5

b)

1.25

c)

2.25

d)

0.44

9.

These two trapezoids are similar.  What is the measure of angle L?

a)

103

b)

125

c)

55

d)

77

10.

These two quadrilateral are

similar. Which transformation would

not help to prove it?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation