Question

Triangle GHI with vertices G(4, 1), H(5, -4), and I(2, -8) REFLECTED over the line y = x.

Answer 1

`G' = (1,4)`

`H' = (-4,5)`

`I = (-8,2)`

Explanation:

Given

`G = (4,1)`

`H = (5,-4)`

`I = (2,-8)`

Reflection:
`y = x`

Required

Determine the coordinates of G'H'I'

The following applies when a line A is reflected over
`y = x`

`A = (x,y)`

`A' = (y,x)`

i.e, we simply swap the positions of x and y

So, for:

`G = (4,1)`

`H = (5,-4)`

`I = (2,-8)`

The reflections are:

`G' = (1,4)`

`H' = (-4,5)`

`I = (-8,2)`

See attachment