Question

1. triangle fgh with vertices f(1, 8), g(5, 7), and h(2, 3): y = x

f(
g(
h(

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 $F'$

For point $F(1,8)$, swapping coordinates gives $F'(8,1)$.

Step3: Find $G'$

For point $G(5,7)$, swapping coordinates gives $G'(7,5)$.

Step4: Find $H'$

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

Answer:

$F'(8,1)$
$G'(7,5)$
$H'(3,2)$