Answer:
(–1, –6)
Step-by-step explanation:
Comparing S to S', we have (3, -5) mapped to (-4, 1). This makes the translation 7 units left and 6 units up; to find the image points from the pre-image points, we subtract 7 from the x-coordinate and add 6 to the y-coordinate.
Working backward from the image points to the pre-image points, we add 7 to the x-coordinate and subtract 6 from the y-coordinate:
R = (-8+7,1-6) = (-1, -5)
T = (-4+7, -3-6) = (3, -9)
U = (-8+7, -3-6) = (-1, -9)
This means that RS goes from (-1, -5) to (3, -5); it means the x-coordinate goes from -1 to 3 and the y-coordinate does not change.
ST goes from (3, -5) to (3, -9); this means that the x-coordinate does not change and the y-coordinate goes from -5 to -9.
TU goes from (3, -9) to (-1, -9); this means the x-coordinate goes from 3 to -1 and the y-coordinate does not change.
UR goes from (-1, -9) to (-1, -5); this means the x-coordinate does not change and the y-coordinate goes from -9 to -5. (-1, -6) will fall along this side.