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

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

• -8

• -4

• -16

• -2

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

• -3

• -18

• -9

• -4.5

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

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

• 3.5

• 7

• 14

• 1.5

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

• 3

• 0

• 12

• 6

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

• -3

• -6

• -12

• 0

What is the center of dilation in this exercise?

• The origin

• Point F

• Point E

• Point D

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

What are the new coordinates of point E after dilation?

• (1, 7)

• (2, 7)

• (1, 3.5)

• (0.5, 3.5)