Question

write the coordinates of the vertices after a reflection over the line $y = x$.
$b$( , )
$c$( , )
$d$( , )
$e$( , )

Explanation:

Step1: Identify original vertex coordinates

From the graph:
$B(-1, -10)$, $C(-1, -1)$, $D(9, -2)$, $E(9, -7)$

Step2: Apply reflection rule $y=x$

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

• $B'$: Swap $x,y$ of $B$: $(-10, -1)$
• $C'$: Swap $x,y$ of $C$: $(-1, -1)$
• $D'$: Swap $x,y$ of $D$: $(-2, 9)$
• $E'$: Swap $x,y$ of $E$: $(-7, 9)$

Answer:

$B'(-10, -1)$
$C'(-1, -1)$
$D'(-2, 9)$
$E'(-7, 9)$