Question

what are the coordinates of the image of vertex d after a reflection across the x - axis? (5, 3) (-5, -3) (-3, 5) (3, -5)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the $x - axis$, the rule is $(x,y)\to(x, - y)$.

Step2: Apply rule to point D

The coordinates of point D are $(5,-3)$. Using the rule, we keep the $x - coordinate$ the same and change the sign of the $y - coordinate$. So, $(5,-3)\to(5,3)$.

Answer:

$(5,3)$