Question

graph the image of square stuv after a reflection over the x - axis.

Explanation:

Step1: Identify original square points

From the graph:
$S=(2, -8)$, $T=(5, -8)$, $U=(5, -5)$, $V=(2, -5)$

Step2: Apply x-axis reflection rule

For a point $(x,y)$, reflection over x-axis is $(x,-y)$.

• $S'=(2, -(-8))=(2, 8)$
• $T'=(5, -(-8))=(5, 8)$
• $U'=(5, -(-5))=(5, 5)$
• $V'=(2, -(-5))=(2, 5)$

Step3: Plot & connect new points

Plot $S'$, $T'$, $U'$, $V'$ and connect them to form the reflected square.

Answer:

The vertices of the reflected square are $S'(2, 8)$, $T'(5, 8)$, $U'(5, 5)$, $V'(2, 5)$. When these points are plotted and connected on the coordinate plane, they form the image of square $STUV$ reflected over the x-axis.