Question

what will be the coordinates of point $r$, the image of point $r$ after the reflection? trapezoid $rstu$ is shown on the coordinate grid below. trapezoid $rstu$ will be reflected over the x - axis to create trapezoid $rstu$. what will be the coordinates of point $r$, the image of point $r$ after the reflection? (4,5) (4, - 5) (-4,5) (-4, - 5)

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to point R

Point $R$ has coordinates $(-4,5)$. Using the rule, we keep the $x - coordinate$ the same and change the sign of the $y - coordinate$. So $(-4,5)\to(-4,-5)$.

Answer:

D. $(-4, - 5)$