Question

multiple choice 1 point if the pentagon below is to be reflected over the line y = x, what are the new coordinates of the vertices?

Explanation:

Step1: Recall reflection rule

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

Step2: Find new coordinates for each vertex

For point $G(- 4,0)$, after reflection over $y = x$, the new - point $G'(0,-4)$.
For point $H(-3,2)$, after reflection over $y = x$, the new - point $H'(2,-3)$.
For point $J(2,2)$, after reflection over $y = x$, the new - point $J'(2,2)$.
For point $K(2,-2)$, after reflection over $y = x$, the new - point $K'(-2,2)$.
For point $L(-3,-2)$, after reflection over $y = x$, the new - point $L'(-2,-3)$.

Answer:

$G'(0,-4),H'(2,-3),J'(2,2),K'(-2,2),L'(-2,-3)$