Question

graph the image of rectangle rstu after a reflection over the x-axis.

Explanation:

Step1: Identify original coordinates

Original points: $R(-8, -10)$, $S(-2, -10)$, $T(-2, -3)$, $U(-8, -3)$

Step2: Apply x-axis reflection rule

For a point $(x,y)$, reflection over x-axis is $(x,-y)$.
New coordinates:
$R'(-8, 10)$, $S'(-2, 10)$, $T'(-2, 3)$, $U'(-8, 3)$

Step3: Plot and connect new points

Plot $R'$, $S'$, $T'$, $U'$ and draw sides between them.

Answer:

The reflected rectangle has vertices at $R'(-8, 10)$, $S'(-2, 10)$, $T'(-2, 3)$, $U'(-8, 3)$ (when plotted and connected, this forms the reflected image over the x-axis).