Free Printable Unit 4: Dilation and Similarity Review

Worksheets

Unit 4: Dilation and Similarity Review

Total questions: 16

Worksheet time: 43mins

Name

Class

Date

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

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

$\frac{1}{2}$

$\frac{1}{3}$

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

$\frac{1}{2}$

$\frac{1}{3}$

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

SAS

SSS

Similar

Not similar

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

$2\left(DE\right)=BC$

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

$DF=DE$

$AB=EF$

$DE=FC$

If two figures are similar their angles are______.

proportional

congruent

supplementary

complementary

Why are the triangles similar?

SAS

SSS

Not similar

If the triangles are similar, state how.

SAS

SSS

Not similar

If the triangles are similar, state why.

SAS

SSS

Not similar

10.

Are these triangles similar?
Known angles in Triangle 1: 40⁰,60⁰
Known angles in Triangle 2: 80⁰,40⁰

Yes

There is not enough information to decide.

11.

Solve for x. The two figures are similar.

x = 6

x = 9

x = 7

x = `0

12.

Dilate a figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

A'(9,9) B'(18,18) C'(27,9)

A'(6,6) B'(9,9) C'(12,6)

A'(0,0) B'(3,3) C'(6,0)

A'(1,1) B'(2,2) C'(3,1)

13.

When a dilation has a scale factor greater than one, the dilation is an enlargement.

True

False

14.

When the scale factor of a dilation is less than one, the dilation is a reduction.

True

False

15.

What is the scale factor from ΔDEF to ΔABC?

1/2

7/3

10/3

16.

The corresponding point for a pre- image that has one vertice at ( 2, 3) and a scale factor of 2 would be at (4, 6).

True in all cases. It doesn't matter where the center of dilation is located. You simply multiply the coordinates by the scale factor.

False. You can't use the scale factor to find the coordinates of the corresponding vertice.

True, assuming that the center of dilation is at the origin.

False, the corresponding vertice would have coordinates of (4, 5)

100 %

Unit 4: Dilation and Similarity Review

Total questions: 16

Worksheet time: 43mins

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