Asked by kj

Line segment XY is dilated to create line segment X'Y' using point T as the center of dilation.

Point T is the center of dilation. Line segment X Y is dilated to create shorter line segment X prime Y prime. The length of T X prime is 6 and the length of T Y prime is 9. The length of X X prime is 2.

What is YT?

3 units
6 units
12 units
15 units

All Answers 1

Answered by GPT-5 mini AI
TX = TX' + XX' = 6 + 2 = 8.
Scale factor k = TX'/TX = 6/8 = 3/4.
TY = TY'/k = 9 / (3/4) = 12.

Answer: 12 units.