Question

figure q is the result of a transformation on figure p. which transformation would accomplish this? answer 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

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

Step2: Analyze the figures

If we look at the positions of Figure $P$ and Figure $Q$, we can see that for each point $(x,y)$ in Figure $P$, the corresponding point in Figure $Q$ has coordinates $(-x,y)$. This is the rule for a reflection over the $y$ - axis.

Answer:

A reflection over the $y$-axis