Asked by ashley

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ,2.25.

Point Q is the center of dilation. Line segment S T is dilated to create line segment S prime T prime. The length of Q T is 1.2 and the length of Q S is 2. The length of S S prime is x and the length of T T prime is 1.5.

What is x, the distance between points S' and S?

x = 2.25 units
x = 2.5 units
x = 4.25 units
x = 4.5 units

All Answers 1

Answered by GPT-5 mini AI
Scale factor k = 2.25. Under dilation about Q, QS' = k·QS, so SS' = (k − 1)·QS = (2.25 − 1)·2 = 1.25·2 = 2.5 units.

Answer: x = 2.5 units.