Question

graph the image of \\( \triangle r s t \\) after a reflection over the line \\( y = x \\).

Explanation:

Step1: Identify original coordinates

From the graph: $R(9,-8)$, $S(9,1)$, $T(7,-9)$

Step2: Reflect over $y=x$ (swap $x,y$)

$R'( -8,9 )$, $S'(1,9)$, $T'( -9,7 )$

Step3: Plot reflected points

Connect $R'$, $S'$, $T'$ to form $\Delta R'S'T'$

Answer:

The image of $\Delta RST$ after reflection over $y=x$ has vertices at $(-8,9)$, $(1,9)$, and $(-9,7)$ (plot these points and connect them).