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, we multiply its coordinates by the scale factor. The scale factor of the dilation is 0.25 because the dilation is 0.25.

For point A: (0, -3)
The x-coordinate after dilation is 0 * 0.25 = 0
The y-coordinate after dilation is -3 * 0.25 = -0.75

So the dilation of point A is (0, -0.75).

For point B: (0, 2)
The x-coordinate after dilation is 0 * 0.25 = 0
The y-coordinate after dilation is 2 * 0.25 = 0.5

So the dilation of point B is (0, 0.5).