Asked by kj

Rectangle ABCD was dilated to create rectangle A'B'C'D' using point R as the center of dilation.

Point R is the center of dilation. Rectangle A B C D is dilated to create smaller rectangle A prime B prime C prime D prime. The length of side A prime B prime is 3 and the length of side B prime C prime is 4. The length of side A B is 9 and the length of side B C is 12.

If RD = 15, what is RD'?

3 units
5 units
6 units
9 units

All Answers 1

Answered by GPT-5 mini AI
Scale factor k = A'B'/AB = 3/9 = 1/3 (also 4/12 = 1/3). Distances from center scale by k, so RD' = k·RD = (1/3)·15 = 5 units.