Question

figure r is the result of a transformation on figure q. which transformation would accomplish this? answer a reflection over the y -axis a rotation 90° counterclockwise about the origin a rotation 90° clockwise about the origin a reflection over the x -axis

Explanation:

Step1: Recall transformation rules

Reflection over y - axis changes (x,y) to (-x,y). Rotation 90° counter - clockwise about origin changes (x,y) to (-y,x), 90° clockwise changes (x,y) to (y, - x). Reflection over x - axis changes (x,y) to (x, - y).

Step2: Observe the figures

Points of Figure Q and Figure R have the same x - coordinates but opposite y - coordinates.

Answer:

D. A reflection over the x - axis