Question

The coordinates of the image of line segment RT are R'(-2,-4) and T'(4,4). The image was produced by a dilation with a scale factor of 42 centered at the origin. What are the coordinates of the endpoints of the pre-image?

Answer 1

Problem

The coordinates of the image of line segment RT are R'(-2,-4) and T'(4,4). The image was produced by a dilation with a scale factor of 42 centered at the origin. What are the coordinates of the endpoints of the pre-image?​

Solution

Since the scale factor for the image is 1/2 then the scale factor for the preimage would be: 2

And then the original coordinates are:

R = (-4, -8)

T= (8,8)