Question

graph the image of △stu after a reflection over the x - axis.

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the $x -$axis is $(x,-y)$.

Step2: Identify vertices of $\triangle STU$

Let's assume the coordinates of $S$ are $(- 3,-3)$, $T$ are $(7,-3)$ and $U$ are $(-3,-7)$.

Step3: Apply reflection rule to each vertex

For $S(-3,-3)$, the image $S'$ is $(-3,3)$. For $T(7,-3)$, the image $T'$ is $(7,3)$. For $U(-3,-7)$, the image $U'$ is $(-3,7)$.

Step4: Graph the new triangle

Plot the points $S'(-3,3)$, $T'(7,3)$ and $U'(-3,7)$ and connect them to form the reflected triangle $\triangle S'T'U'$.

Answer:

Graph the triangle with vertices $S'(-3,3)$, $T'(7,3)$ and $U'(-3,7)$ on the given coordinate - grid.