Question

answer a rotation 90° clockwise about the origin a rotation 90° counterclockwise about the origin a reflection over the x -axis a reflection over the y -axis submit answer

Explanation:

Step1: Recall transformation rules

A 90 - degree clockwise rotation about the origin changes $(x,y)$ to $(y, - x)$. A 90 - degree counter - clockwise rotation about the origin changes $(x,y)$ to $(-y,x)$. A reflection over the $x$ - axis changes $(x,y)$ to $(x, - y)$. A reflection over the $y$ - axis changes $(x,y)$ to $(-x,y)$.

Step2: Analyze the figures

Observing Figure B and Figure C, we can see that the coordinates of corresponding points of Figure B and Figure C have the relationship where the $x$ - coordinates are opposite in sign and the $y$ - coordinates are the same. This is the rule for a reflection over the $y$ - axis.

Answer:

A reflection over the $y$-axis