Question

square rstu is translated to form rstu, which has vertices r(-8, 1), s(-4, 1), t(-4, -3), and u(-8, -3). if point s has coordinates of (3, -5), which point lies on a side of the pre - image. (3, -3) (-1, -6) (4, -9) (-5, -3)

Explanation:

Step1: Find translation vector

Translation vector (h,k): From S(3,-5) to S'(-4,1): h=-4-3=-7, k=1-(-5)=6.

Step2: Get pre-image vertices

Reverse translation (add 7 to x, subtract 6 from y) for image vertices: R(-1,-5), S(3,-5), T(3,-9), U(-1,-9).

Step3: Determine square sides

Sides: Left x=-1 (y:-9 to -5), Right x=3 (y:-9 to -5), Bottom y=-9 (x:-1 to 3), Top y=-5 (x:-1 to 3).

Step4: Check which point lies on a side

(-1,-6): x=-1 (left side), y=-6 (-9≤-6≤-5) → on side.

Answer:

(-1,-6)