Dilation and Coordinate Transformation

The video tutorial explains how to plot the images of points D, E, and F after a dilation centered at the origin with a scale factor of 1/2. It describes how each point is mapped to a new location by halving the distance from the origin. The tutorial covers the specific mappings of points D, E, and F, providing their original and new coordinates. The process is summarized by emphasizing the role of the origin as the center of dilation and the consistent application of the scale factor.

What is the scale factor used for the dilation centered at the origin?

• 2

• 4

• 1/2

• 1/4

Tags

CCSS.8.G.A.3

After dilation, what is the new x-coordinate of point D if it originally was at -8?

• -8

• -4

• -16

• -2

Tags

CCSS.8.G.A.3

What is the new y-coordinate of point D after dilation if it originally was at -9?

• -3

• -18

• -9

• -4.5

Tags

CCSS.8.G.A.3

If point E is originally 2 units from the origin in the x direction, where will it be after dilation?

• 1 unit

• 2 units

• 3 units

• 4 units

Tags

CCSS.8.G.A.3

What is the new y-coordinate of point E after dilation if it originally was at 7?

• 3.5

• 7

• 14

• 1.5

Tags

CCSS.8.G.A.3

What is the new x-coordinate of point F after dilation if it originally was at 6?

• 3

• 0

• 12

• 6

Tags

CCSS.8.G.A.3

If point F is originally 6 units less in the y direction, where will it be after dilation?

• -3

• -6

• -12

• 0

Tags

CCSS.8.G.A.3

What is the center of dilation in this exercise?

• The origin

• Point F

• Point E

• Point D

Tags

CCSS.8.G.A.3

How does the scale factor affect the distance of points from the origin?

• Triples the distance

• Halves the distance

• Keeps the distance the same

• Doubles the distance

Tags

CCSS.8.G.A.3

What are the new coordinates of point E after dilation?

• (1, 7)

• (2, 7)

• (1, 3.5)

• (0.5, 3.5)

Tags

CCSS.8.G.A.3