Question

write the coordinates of the vertices after a reflection over the line y = x.

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the line $y = x$, the coordinates swap, so the new point is $(y,x)$.

Step2: Identify original coordinates

Assume $E(3,- 5)$, $F(8,-3)$, $G(4,-1)$, $H(3,-3)$.

Step3: Apply reflection rule to each point

For point $E(3,-5)$, after reflection, the new - point $E'(-5,3)$.
For point $F(8,-3)$, after reflection, the new - point $F'(-3,8)$.
For point $G(4,-1)$, after reflection, the new - point $G'(-1,4)$.
For point $H(3,-3)$, after reflection, the new - point $H'(-3,3)$.

Answer:

$E'(-5,3)$, $F'(-3,8)$, $G'(-1,4)$, $H'(-3,3)$