Question

1. triangle ghi with vertices g(4, 1), h(5, -4) and i(2, -5); y = x

g(_ _)
h(_ _)
i(_ _)

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the line $y = x$ is $(x,y)\to(y,x)$.

Step2: Reflect point G

For point $G(4,1)$, applying the rule $(x,y)\to(y,x)$, we get $G'(1,4)$.

Step3: Reflect point H

For point $H(5, - 4)$, applying the rule $(x,y)\to(y,x)$, we get $H'(-4,5)$.

Step4: Reflect point I

For point $I(2,-5)$, applying the rule $(x,y)\to(y,x)$, we get $I'(-5,2)$.

Answer:

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