Question

reflect triangle efg across the line y = x. plot a point for each vertex.

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the line $y = x$ is $(y,x)$.

Step2: Identify vertices of triangle EFG

Let's assume the coordinates of the vertices of triangle EFG are $E(x_1,y_1)$, $F(x_2,y_2)$ and $G(x_3,y_3)$. From the graph, if $E(4,3)$, $F(2,3)$ and $G(2,1)$.

Step3: Apply reflection rule to each vertex

For point $E(4,3)$, its reflection $E'(3,4)$.
For point $F(2,3)$, its reflection $F'(3,2)$.
For point $G(2,1)$, its reflection $G'(1,2)$.

Answer:

Plot the points $E'(3,4)$, $F'(3,2)$ and $G'(1,2)$