Question

give the coordinates of the new image. 8. triangle bcd with vertices b(-2, 3), c(8, 7), and d(-1, -5): y = x

Explanation:

Step1: Recall reflection rule

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

Step2: Find B'

For point $B(-2,3)$, swapping coordinates gives $B'(3,-2)$.

Step3: Find C'

For point $C(8,7)$, swapping coordinates gives $C'(7,8)$.

Step4: Find D'

For point $D(-1,-5)$, swapping coordinates gives $D'(-5,-1)$.

Answer:

$B'(3,-2)$
$C'(7,8)$
$D'(-5,-1)$