Free Printable Practice Test: Similarity

1.

1. If two polygons are SIMILAR, then the corresponding sides must be _____.

a)

proportional

b)

congruent

c)

parallel

d)

similar

2.

Given\ that\ \Delta ABC\sim\Delta DEF,\ solve\ for\ x\ and\ y.

a)

x = 9.67, y = 12.5

b)

x = 9.67, y = 13.5

c)

x = 10.67, y = 13.5

d)

x = 10.67, y = 12.5

3.

Use the Angle-Angle Similarity Theorem to determine which pair of triangles is NOT similar.

a)

b)

c)

d)

4.

The triangles formed by two ladders leaning against a wall are similar. How far up the wall does the shorter ladder reach?

a)

28 feet

b)

14 feet

c)

12 feet

d)

10 feet

5.

In order to measure the height of a large tree, Adrian measures the tree’s shadow and immediately measures the length of his shadow and his height. What is the height of the tree?

a)

31.725 feet

b)

42.3 feet

c)

47.9 feet

d)

56.4 feet

6.

Which of the following proportions could be used as a given to show that line AB is parallel to side DF?

a)

$\frac{DE}{DF}=\frac{AE}{AB}$

b)

$\frac{DA}{BE}=\frac{AE}{BE}$

c)

$\frac{EA}{AD}=\frac{EB}{BF}$

d)

$\frac{EF}{DF}=\frac{EB}{AB}$

7.

$PQRS\sim WXYZ$
Find the values of x, y, and z

a)

x = 8, y = 118, z = 15

b)

x = 9, y = 118, z = 6

c)

x = 8, y = 62, z = 15

d)

x = 9, y = 62, z = 6

8.

Are the two triangles (not drawn to scale) similar? If so, explain why they are.

a)

Yes, by the definition of triangular similarity.

b)

Yes, because they look like it.

c)

No, the corresponding angles are not congruent.

d)

No, the corresponding sides are not proportional.

9.

Are all regular pentagons similar?

a)

Yes

b)

Sometimes

c)

No

d)

Not enough information

10.

Which triangle is not similar to any of the others?

a)

A

b)

B

c)

C

d)

D

11.

$\Delta CDE\sim\Delta FGH$

a)

True

b)

False

c)

not enough information

12.

The two triangles are similar. Write a similarity statement.

a)

$\Delta GHJ\sim\Delta JKL$

b)

$\Delta JGH\sim\Delta JKL$

c)

$\Delta GHJ\sim\Delta LKJ$

d)

$\Delta JGH\sim\Delta LKJ$

13.

What value of x will make the two triangles similar?

(a)

14.

Which similarity statement is true?

a)

$\Delta KLM\sim\Delta NOP$

b)

$\Delta KLM\sim\Delta NPO$

c)

$\Delta KLM\sim\Delta PON$

d)

The triangles are not similar.

Practice Test: Similarity

Total questions: 14

Worksheet time: 23mins

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