Dilations

A dilation is which of the following:

• an enlargement only

• a reduction only

• either an enlargement or reduction

• neither an enlargement or reduction

A dilation always produces a congruent figure.

• True

• False

A dilation always produces a similar figure.

• True

• False

Dilations produce similar figures. Similar figures have the same _____ and proportional _____.

• measures; shapes

• sizes; shapes

• angles; side lengths

• side lengths; angles

What is the scale factor of the dilation shown?

• 1/2

• 1

• 2

• 3/2

What is the scale factor of the dilation shown?

• 1

• 7

• 18

• 49

What is the scale factor of the dilation shown?

• 2

• -2

• 1/2

• 1

What is the scale factor of the dilation shown?

• 1

• 1.5

• 2

• 2.5

Suppose a triangle with the vertices (-1,4) (-1, -2) and (2, -2) were dilated, with the center of dilation at the origin and with a scale factor of 2. Which of these would be a vertex of the dilated figure?

• (-1, -4)

• (-1, 4)

• (4, -4)

• (4, -2)

Look at △STU on this coordinate grid.

Suppose that △S'T'U' is the result of a dilation of △STU with center T and scale factor 2. What are the coordinates of point S'

• (0,−3)

• (4,2)

• (3,4)

• (6,9)