Question

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

Explanation:

Step1: Identify original coordinates

From the graph: $R( -6, -10 )$, $S( -2, -10 )$, $T( -2, -4 )$.

Step2: Apply reflection rule

Reflection over x-axis: $(x, y) \to (x, -y)$.

• $R'( -6, 10 )$, $S'( -2, 10 )$, $T'( -2, 4 )$.

Step3: Plot reflected vertices

Graph $R'$, $S'$, $T'$ and connect to form $\Delta R'S'T'$.

Answer:

The image of $\Delta RST$ after reflection over the x-axis has vertices $R'( -6, 10 )$, $S'( -2, 10 )$, $T'( -2, 4 )$.