Question

graph the image of △rst 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 $\triangle RST$

Assume $R(x_1,y_1)$, $S(x_2,y_2)$, $T(x_3,y_3)$ from the graph.

Step3: Find new vertices

For each vertex, change the sign of the $y - coordinate$. So the new vertices are $R'(x_1,-y_1)$, $S'(x_2,-y_2)$, $T'(x_3,-y_3)$.

Step4: Plot new triangle

Plot the new vertices $R'$, $S'$, $T'$ on the coordinate - plane and connect them to form the reflected triangle.

Answer:

Plot the triangle with vertices obtained by changing the sign of the $y - coordinates$ of the vertices of $\triangle RST$.