Question

reflection
pre - image coordinates image coordinates
(4,5) (-4,5)
(6, - 2) (-6, - 2)
(-3, - 4) (3, - 4)
(3,1)
(x,y)

Explanation:

Step1: Analyze the pattern

We observe that for each pre - image point $(x,y)$, the $y$ - coordinate remains the same and the $x$ - coordinate changes its sign.

Step2: Find the image of $(3,1)$

Applying the rule, the image of $(3,1)$ is $(-3,1)$.

Step3: Find the image of $(x,y)$

Applying the rule, the image of $(x,y)$ is $(-x,y)$.

Answer:

For $(3,1)$: $(-3,1)$
For $(x,y)$: $(-x,y)$