Find the dilation of 0.25 with center (0, 0) for the following points if A (0, -4) B (5, 2)

To find the dilation of a point with respect to a center, you can use the formula:

A' = k * A

Where A' is the dilated point, A is the original point, and k is the dilation factor.

In this case, the dilation factor is 0.25 and the center is (0,0).

For point A (0, -4):

A'(x, y) = 0.25 * (0, -4) = (0 * 0.25, -4 * 0.25) = (0, -1)

So the dilated point A' is (0, -1).

For point B (5, 2):

B'(x, y) = 0.25 * (5, 2) = (5 * 0.25, 2 * 0.25) = (1.25, 0.5)

So the dilated point B' is (1.25, 0.5).