Dilation and Coordinate Transformations

The video tutorial explains how to dilate triangle ABC using the origin as the center of dilation with a scale factor of 0.5. It begins by stating the current coordinates of the triangle's vertices and then demonstrates how to apply the scale factor by multiplying each coordinate by 0.5. The new coordinates are calculated, and the video concludes with a reminder that this method applies only when the origin is the center of dilation.

What is the initial task described in the video?

• To dilate triangle ABC

• To reflect triangle ABC

• To translate triangle ABC

• To rotate triangle ABC

What is the center of dilation used in the problem?

• Point A

• The origin

• Point B

• Point C

Where is point A initially located?

• (0, 0)

• (4, 5)

• (-1, 5)

• (-4, 5)

What is the initial position of point B?

• (-1, 5)

• (0, 0)

• (-4, 5)

• (4, 5)

How do you apply the scale factor to the coordinates?

• Add the scale factor to each coordinate

• Multiply each coordinate by the scale factor

• Divide each coordinate by the scale factor

• Subtract the scale factor from each coordinate

What is the scale factor used in the dilation process?

• 0.5

• 0.25

• 1

• 2

What is the new location of point A after dilation?

• (-2, 2.5)

• (0, 0)

• (-1, 2.5)

• (2, 2.5)

After applying the scale factor, where is point B located?

• (0.5, 2.5)

• (-0.5, 2.5)

• (-1, 2.5)

• (0, 0)

What is the new position of point C after dilation?

• (2, 2.5)

• (2, 5)

• (0, 0)

• (4, 2.5)

What is the new x-coordinate of point C after dilation?

• 3

• 1

• 4

• 2