Question

A segment with endpoints (-12, -8) and M ( 20, -16) is dilated by a

factor 1/4 and a center of dilation at (0,0). What is M'?*

Answer 1

To determine the coordinates of point M' after dilation by a factor of 1/4 with the center of dilation at (0,0), each coordinate of point M (20, -16) is multiplied by 1/4, resulting in the coordinates of M' being (5, -4).

Step-by-step explanation:

The student is asking about dilation, which is a transformation that produces an image that is the same shape as the original, but is a different size. To find the coordinates of point M' after dilation by a factor of 1/4 with the center of dilation at the origin (0,0), we apply the dilation factor to each of the coordinates of point M.

To dilate point M (20, -16), we multiply each coordinate by 1/4:

• X-coordinate after dilation: Mx' = 1/4 * 20 = 5
• Y-coordinate after dilation: My' = 1/4 * -16 = -4

Therefore, the coordinates of point M' after the dilation are (5, -4).