Question

Line segment AB has endpoints at A(-4,4) and B(8,8).(a) Find and plot its image after a dilation with a center at the origin and a scale factor of 1/2. Give the coordinates of A' and B' below.(b) Using coordinate geometry show that segment A'B' is parallel to segment AB.(c) Using coordinate geometry, show that A'B'=1/2 AB

Answer 1

The image after the dilation is A' (-2,2) and (4,4)

Here, we have a pre-image with the endpoints A(-4,4) and B(8,8) and we want to find the image after dilation using the scale factor

To find its image after a dilation, we simply multiply the scale factor with each number on the coordinate

Thus, we have

A' as (-2,2) and B' as (4,4)

To plot the image, we can locate these coordinates and join them together and label them as A' and B'