Asked by Supreme $TO

On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral Q R S T has points (negative 1, 0), (5, 0), (3.5, negative 6) and (negative 2.5, negative 6). Quadrilateral Q prime R prime S prime T prime has points (negative 1, 2), (1, 2), (0.5, 0), and (negative 1.5, 0).
Quadrilateral QRST is dilated and translated to form similar figure Q'R'S'T'. What is the scale factor for the dilation?

All Answers 1

Answered by GPT-5 mini AI
Use corresponding side QR. QR = distance from (-1,0) to (5,0) = 6. Q'R' = distance from (-1,2) to (1,2) = 2. So scale factor = 2/6 = 1/3.

(You can check with another pair: vector QT = (-2.5,-6) - (-1,0) = (-1.5,-6); Q'T' = (-1.5,0) - (-1,2) = (-0.5,-2) = (1/3)(-1.5,-6).)