Dilations with Measurement

If a scale factor of ½ is applied, what would be the algebraic representation for this dilation.

• (x, y)--> (2x, 2y)

• (x, y)--> (1/2x, 1/2y)

• (x, y)--> (x+2, y+2)

• (x, y)--> (x-2, y-2)

Does the image show a dilation?

• Yes

• No

Which of the following is the definition of a DILATION?

•  A transformation that can change the size of a polygon but leaves the shape unchanged.

•  A change in the shape of a polygon but leaves the size unchanged.

• A transformation that changes the size of a shape.

If a figure is dilated by a factor of 6, the perimeter of the figure will change by a factor of _______.

• 6

• 36

• 4

• 2

If a figure is dilated by a factor of 1.5, then the area of the figure will change by a factor of _________.

• 1.5

• 3

• 2.25

• 3.5

A figure has a perimeter of 12 inches. Which describes the perimeter after a dilation with a scale factor of 4?

• 3

• 192

• 64

• 48

• 96

• 120

• 144

• 116

Shawn wants to make the perimeter of the fence in his backyard 2.5 times larger. What scale factor should he use?

• Scale factor of 6

• Scale factor of 2.5

• Scale factor of 10

• Scale factor of 6.25

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

What scale factor was used to produce the image? **Use new side lengths/ old side lengths

• 1

• 7

• 18

• 49