Rectangle abcd was dilated to create rectangle a'b'c'd' using point r as the center of dilation. if rd = 15, what is rd'?

we have a rectangle abcd dilated to center a'b'c'd'.

no we have two rectangles we know that in rectangles we have parallel and equal sides we have to use ratio of corresponding sides

ab and a'b

a'b': ab=

we have rd=15 and we need to find rd'.

we know that ratio corresponding sides are always equal.

so rd' will be 1: 3 of rd

your answer would be 12