DILATIONS ASSESSMENT

ANSWER KEY

Name: ______Date: ______

  1. Explain dilation.

Dilation is a transformation that stretches or shrinks a figure to create a similar figure.

  1. What is the scale factor of a dilation?

The scale factor of a dilation is the ratio of a side length of an image to the corresponding side length of the original figure.

  1. Explain the difference between a dilation with a scale factor less than 1 and a dilation with a scale factor greater than1.

A scale factor less than 1 will result in a reduction of the original image while a scale factor greater than 1 will result in an enlargement of the original image.

  1. A triangle with side lengths 3-5-7 is enlarged by a scale factor of 8. What are the side lengths of the enlarged triangle?

24-40-56

  1. A chemical company has developed a new cleaning solution which they will sell in a bottle that is 10 inches tall. They want to advertise the product on a billboard with an image of the bottle that is 10 feet tall. What scale factor will they use for the advertisement?

12

DILATIONS ASSESSMENT (P.2)

  1. What is the scale factor? ___2___ What is the length of the unknown side? ___20___

Y
36
34
32
30
28
26
24
22
20
18
16 / /
14 /
12 /
10 / /
8
6 /
4 /
2 /
0 / X
2 / 4 / 6 / 8 / 10 / 12 / 14 / 16 / 18 / 20 / 22 / 24

DILATIONS ASSESSMENT (P.3)

  1. EFGH is a dilation of ABCD. =5.

What is the scale factor? ___4___ What is the length of ? ___20___

Y
36
34 /
32
30
28
26
24
22
20
18
16 /
14
12
10 /
8
6
4 /
2 /
0 / / X
2 / 4 / 6 / 8 / 10 / 12 / 14 / 16 / 18 / 20 / 22 / 24

DILATIONS ASSESSMENT (P.4)

  1. Construct 4 dilations of the figure using the scale factors 2, 3, 4, and 5.

Y
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8 / /
6
4 / /
2 / / /
0 / / X
2 / 4 / 6 / 8 / 10 / 12 / 14 / 16 / 18 / 20 / 22 / 24

DILATIONS ASSESSMENT (P.5)

  1. Construct a dilation of the image using a scale factor of .

Y
36
34
32
30
28
26
24
22
20
18
16
14
12
10
8 / /
6
4 /
2
0 / X
2 / 4 / 6 / 8 / 10 / 12 / 14 / 16 / 18 / 20 / 22 / 24

DILATIONS ASSESSMENT (P.6)

  1. Construct a dilation of the image using a scale factor of .

Y
36
34
32
30
28
26
24
22
20
18
16
14 / / /
12
10 /
8
6
4
2
0 / / X
2 / 4 / 6 / 8 / 10 / 12 / 14 / 16 / 18 / 20 / 22 / 24