Question

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

Explanation:

Step1: Recall rotation and reflection rules

For a point $(x,y)$ rotated 90° clockwise about the origin, the new point is $(y, - x)$. For a 90° counter - clockwise rotation about the origin, the new point is $(-y,x)$. Reflection over the $x$ - axis changes $(x,y)$ to $(x,-y)$ and reflection over the $y$ - axis changes $(x,y)$ to $(-x,y)$.

Step2: Analyze the orientation of the figures

Figure C needs to be rotated to match Figure B. If we consider a general point on Figure C and apply a 90° clockwise rotation about the origin, we can see that the orientation and position will match Figure B.

Answer:

A. A rotation 90° clockwise about the origin