Question

figure q figure r 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

For a point $(x,y)$ reflected over the $x - axis$, the new point is $(x,-y)$. For reflection over the $y - axis$, the new point is $(-x,y)$. For a $90^{\circ}$ counter - clockwise rotation about the origin, the new point is $(-y,x)$ and for a $90^{\circ}$ clockwise rotation about the origin, the new point is $(y, - x)$.

Step2: Analyze the figures

If we take a general point on Figure Q and its corresponding point on Figure R, we can see that for each point $(x,y)$ on Figure Q, the corresponding point on Figure R is $(x,-y)$. For example, if a point on Figure Q has coordinates $( - 2,3)$, the corresponding point on Figure R has coordinates $( - 2,-3)$. This follows the rule of reflection over the $x - axis$.

Answer:

A reflection over the x - axis