Question

1. reflection of △ghi with vertices g(4,1) h(5, - 4) i(2, - 8), in the line y = x.

g(
,
),
h(
,
),
i(
,
)

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: Reflect point G

For $G(4,1)$, swapping the coordinates gives $G'(1,4)$.

Step3: Reflect point H

For $H(5, - 4)$, swapping the coordinates gives $H'(-4,5)$.

Step4: Reflect point I

For $I(2,-8)$, swapping the coordinates gives $I'(-8,2)$.

Answer:

$G'(1,4)$, $H'(-4,5)$, $I'(-8,2)$