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Worksheets

Similarity Proofs

Total questions: 12

Worksheet time: 12mins

Name
Class
Date
1.

What is the "reason" for step 2 of the proof?

a)

reflexive property

b)

proof

c)

SAS
≅ thrm

d)

given

2.

What is the "statement" for step 3 of the proof? 

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

3.

Determine whether the triangles are similar or not. If so, state how they are similar.

a)

Yes, by AA Similarity

b)

Yes, by SAS Similarity

c)

Yes, by SSS Similarity

d)

No, not similar

4.

Determine whether the triangles are similar or not. If so, state how they are similar.

a)

Yes, by AA Similarity

b)

Yes, by SAS Similarity

c)

Yes, by SSS Similarity

d)

No, not similar

5.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

6.

The triangles are similar by...

a)

SAS

b)

AA

c)

ASA

d)

SSS

7.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Not similar.

8.

Find the missing side using proportions.

a)

a

b)

b

c)

c

d)

d

9.

Find the missing side using proportions.

a)

a

b)

b

c)

c

d)

d

10.

What is the scale factor from ABCD to MNOP?

a)

2/3

b)

3/2

c)

2

d)

3

11.

The pair of figures is similar. Find the missing side.

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

12.

The red triangle has been dilated by a scale factor of 1/4, which triangle is it's new image? 

a)

green triangle 

b)

red triangle 

c)

black triangle

d)

none of these