Question

write a rule for the reflection.

Explanation:

Step1: Identify the transformation

Observe the coordinates of points. Point $B(3,3)$ is reflected to $B'(3, - 3)$ and point $C(5,1)$ is reflected to $C'(5,-1)$.

Step2: Determine the rule

The $x$-coordinates of the pre - image and image points remain the same, while the $y$-coordinates change their signs. The general rule for a reflection over the $x$-axis for a point $(x,y)$ is $(x,y)\to(x, - y)$.

Answer:

$(x,y)\to(x, - y)$