Question

the coordinates for a point and its image are q (-3,-5) and q (5, -3). based on the mapping rules for rotations, which transformation occurred? (1 point)
∘ a 90-degree (counterclockwise) rotation
∘ a reflection across the x-axis
∘ a 270-degree (counterclockwise) rotation
∘ a 180-degree rotation

Explanation:

Step1: Recall 90° CCW rotation rule

$(x,y)→(-y,x)$

Step2: Apply to Q(-3,-5)

$-y=-(-5)=5$, $x=-3$ → (5,-3)=Q'

Answer:

a. a 90-degree (counterclockwise) rotation