Dilating Lines Notes

Dilate the line y=1/2x + 6 by a scale factor of 1/3 with the origin as center

• y=1/2x + 2

• y=1/6x + 6

• y=1/2x + 12

• y=1/6x + 2

Tags

CCSS.8.G.A.3

Dilate y=3x+6 by a scale factor of 2 with (8,10) as the center of dilation.

• y=3x + 40

• y=3x - 26

• y=3x + 26

• y=3x - 40

Tags

CCSS.8.G.A.3

Dilate y= 2x + 10 by a scale factor of 1/2 with a center of (4,12).

• y=2x + 1

• y=2x + 7

• y=2x + 6

• y=2x + 4

Tags

CCSS.8.G.A.3

True or False:
When the center of dilation is on the line being dilated, the new line is the same as the original.

• True

• False

Tags

CCSS.8.G.A.3

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

Tags

CCSS.8.G.A.3

• 2

• 3

• 4

• 6

Tags

CCSS.8.G.A.3

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x, 2y)

• (x, y) → (2x, 3y)

Tags

CCSS.HSG.CO.A.2

The line whose equation is 3x – 5y = 4 is dilated by a scale factor of 5/3 centered at the origin. Which statement is correct?

• The image of the line has the same slope as the pre-image but a different y-intercept.

• The image of the line has the same y-intercept as the pre-image but a different slope.

• The image of the line has the same slope and the same y-intercept

  as the pre-image.

• The image of the line has a different slope and a different y-intercept from the pre-image.

Is the following a dilation?

• Yes

• No

Tags

CCSS.8.G.A.3

A line that passes through the points whose coordinates are (1,1) and (5, 7) is dilated by a scale factor of 3 and centered at the origin. The image of the line

• is perpendicular to the original line

• is parallel to the original line

• passes through the origin

• is the original line

Tags

CCSS.8.G.A.3