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Unit 4: Similarity Review

Total questions: 8

Worksheet time: 25mins

Name
Class
Date
1.

Use the similarity statement to set up a proportion. Then solve for x.

a)

5

b)

9

c)

8

d)

2

2.

The center of dilation is at the origin. What is the scale factor?

a)

2

b)

3

c)

12\frac{1}{2}

d)

13\frac{1}{3}

3.

Ms. Sulit is 5.30 feet tall and casts a shadow that is 8 feet long. The flagpole casts a shadow that is 20 feet long. How tall is the flagpole?

a)

The flagpole is 14.70 feet tall

b)

The flagpole is 12 feet tall.

c)

The flagpole is 17.30 feet tall.

d)

The flagpole is 13.25 feet tall.

4.

The blue triangle is the preimage. The red triangle is the image. What is the scale factor?

a)

2

b)

3

c)

12\frac{1}{2}

d)

13\frac{1}{3}

5.

Choose the Triangle Similarity Theorem you will test. Then decide if the triangles are similar or NOT similar.

a)

SAS

b)

SSS

c)

AA

d)

Similar

e)

Not similar

6.

D, E, and F are all midpoints. Select all true statements.

a)

 2(DE)=BC2\left(DE\right)=BC  

b)

 12(AC)=DF\frac{1}{2}\left(AC\right)=DF  

c)

 DF=DEDF=DE  

d)

 AB=EFAB=EF  

e)

 DE=FCDE=FC  

7.

D, E, and F are all midpoints. AB = 6x+12. EF = 4x-3.

Solve for x.

a)

x = -3.375

b)

x = -7.5

c)

x = 9

8.

Use the Side-Splitter Theorem to solve for x.

a)

x = 10

b)

x = 7

c)

x = 3