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Triangle Similarity

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

What is true about similar figures?

a)

Everything is congruent

b)

They have the same shape but different size

2.

In Similar figures the ________________ are the same.

a)

Angles

b)

Sides

c)

Diagonals

3.

Pick the correct Similarity Statement for the Triangles shown.

a)

ΔCAB ~ ΔDEF

b)

ΔABC ~ ΔDFE

c)

ΔABC ~ ΔDEF

d)

ΔBCA ~ ΔDEF

4.

Pick the correct Similarity Statement for the Triangles shown.

a)

ΔABC ~ ΔPRQ

b)

ΔABC ~ ΔPQR

c)

ΔCBA ~ ΔPRQ

d)

ΔACB ~ ΔQRP

5.

Pick the correct Similarity Statement for the Triangles Shown.

a)

ΔABC ~ ΔXYZ

b)

ΔACB ~ ΔYZX

c)

ΔCAB ~ ΔZXY

d)

ΔABC ~ ΔZXY

6.

Given that the two triangles are similar, which side is corresponding to PQ?

a)

EF

b)

DE

c)

DF

d)

FE

7.

Find the scale factor (common ratio) between the two triangles.

a)

3/2

b)

1

c)

9/4

d)

4/9

8.
Are the triangles similar?
a)
Yes
b)
No
9.
Are the triangles similar?
a)
Yes
b)
No
10.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
11.

Determine if the triangles are similar. If so, find missing variables using properties of similarity.

a)

Similar, k = 11.5

b)

Similar, k = 2.5

c)

Similar, k = 8

d)

Not Similar

12.

Determine if the triangles are similar. If so, write your similarity statement.

a)
b)
c)
d)
13.
Find missing side
a)
5
b)
7
c)
9
d)
11
14.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional 
b)
proportional, congruent 
c)
congruent, congruent
d)
proportional, proportional
15.
Are the triangles similar?
a)
Yes
b)
No