Question

the coordinates of the vertices of figure efgh are e(2, - 2), f(5, - 3), g(4, - 5), and h(3, - 5). ryan reflects figure efgh across the x - axis to form figure efgh. what are the coordinates for f? use the number pad to enter your answer in the box.

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 F

The coordinates of point F are $(5,-3)$. Using the reflection rule across the $x - axis$, we keep the $x - coordinate$ the same and change the sign of the $y - coordinate$. So, for point F with $x = 5$ and $y=-3$, the new $y - coordinate$ is $-(-3)=3$. The coordinates of $F'$ are $(5,3)$.

Answer:

$(5,3)$