In the figure below, is there a dilation D that would map figure PQRS to figure P’Q’R’S’? Explain in terms of scale factor and coordinates of corresponding points.

A
Yes, there is a dilation D that maps PQRS to P’Q’R’S’. The scale factor is 2. The image of each point is 2 times the coordinates of the original image.

B
Yes, there is a dilation D that maps PQRS to P’Q’R’S’. The scale factor is ½. The image of each point is 1/2 times the coordinates of the original image.

C
No, there is not a dilation D that maps PQRS to P’Q’R’S’.

D
There could be a dilation D that maps PQRS to P’Q’R’S’, but we do not have enough information to determine scale factor.