Find the dilation of 0.25 with the center (0, 0) for the following points:

Question

A' = (0, -3)

B' = (0, 2)

Answer 1

To find the dilation of a point with respect to a center, you will need to multiply the coordinates of the point by the dilation factor.

Given that the dilation factor is 0.25, and the center is (0, 0), the dilation of point A' = (0, -3) would be:

A' = (0.25 * 0, 0.25 * -3)
A' = (0, -0.75)

Therefore, the dilation of point A' = (0, -3) with a dilation factor of 0.25 and center (0, 0) is A' = (0, -0.75).

Similarly, the dilation of point B' = (0, 2) would be:

B' = (0.25 * 0, 0.25 * 2)
B' = (0, 0.5)

Therefore, the dilation of point B' = (0, 2) with a dilation factor of 0.25 and center (0, 0) is B' = (0, 0.5).