Question

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

Explanation:

Step1: Recall transformation rules

For a point $(x,y)$ reflected over the $x - axis$, the new point is $(x,-y)$. For Figure R with vertices, when reflected over the $x - axis$, the $x - coordinates$ remain the same and the $y - coordinates$ change sign.

Step2: Check the figures

Observing Figure R and Figure Q, we can see that the $x - values$ of the corresponding vertices are the same and the $y - values$ are opposite. For example, if a vertex of Figure R is $(x_1,y_1)$, the corresponding vertex of Figure Q is $(x_1, - y_1)$.

Answer:

A reflection over the $x$-axis