Question

answer a rotation 180° clockwise about the origin a translation 2 units up a reflection over the x - axis a reflection over the y - axis submit answer

Explanation:

Step1: Recall transformation rules

For a 180 - degree clock - wise rotation about the origin, the rule for a point $(x,y)$ is $(x,y)\to(-x,-y)$. For a translation 2 units up, $(x,y)\to(x,y + 2)$. For a reflection over the $x$ - axis, $(x,y)\to(x,-y)$. For a reflection over the $y$ - axis, $(x,y)\to(-x,y)$.

Step2: Analyze the figures

If we observe the relationship between Figure P and Figure O, we can see that the $x$ and $y$ coordinates of the vertices of Figure P are the negative of the corresponding coordinates of Figure O. This is consistent with a 180 - degree clock - wise rotation about the origin.

Answer:

A. A rotation 180° clockwise about the origin