Question

graph the image of $\triangle stu$ after a reflection over the $x$-axis.

Explanation:

Step1: Identify original coordinates

From the graph:
$S=(5, -10)$, $T=(8, -10)$, $U=(8, -5)$

Step2: Apply x-axis reflection rule

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

• $S'=(5, -(-10))=(5,10)$
• $T'=(8, -(-10))=(8,10)$
• $U'=(8, -(-5))=(8,5)$

Step3: Plot and connect points

Plot $S'$, $T'$, $U'$ and draw $\triangle S'T'U'$.

Answer:

The vertices of the reflected triangle are $S'(5, 10)$, $T'(8, 10)$, $U'(8, 5)$. When plotted and connected, this forms the image of $\triangle STU$ reflected over the x-axis.