Question

write the coordinates of the vertices after a reflection over the line $y = x$.
$e$( , )
$f$( , )
$g$( , )

Explanation:

Step1: Identify original coordinates

Original vertices: $E(-9, 8)$, $F(-2, 8)$, $G(-6, 4)$

Step2: Apply reflection rule $y=x$

For a point $(x,y)$, reflection over $y=x$ is $(y,x)$.

• $E'$: Swap $x,y$ of $E$: $(8, -9)$
• $F'$: Swap $x,y$ of $F$: $(8, -2)$
• $G'$: Swap $x,y$ of $G$: $(4, -6)$

Answer:

$E'(8, -9)$
$F'(8, -2)$
$G'(4, -6)$