Question

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

Explanation:

Step1: Recall transformation rules

For a point $(x,y)$: a $90^{\circ}$ clock - wise rotation about the origin gives $(y, - x)$; a $90^{\circ}$ counter - clockwise rotation about the origin gives $(-y,x)$; a reflection over the $x$ - axis gives $(x,-y)$; a reflection over the $y$ - axis gives $(-x,y)$.

Step2: Observe the figures

Figure $P$ and Figure $Q$ are mirror images of each other with respect to the $y$ - axis. Points on Figure $P$ and their corresponding points on Figure $Q$ have the relationship $(x,y)\to(-x,y)$.

Answer:

A reflection over the y - axis