Question

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

Answer 1

Answer:

$G' = (1,4)$

$H' = (-4,5)$

$I = (-8,2)$

Step-by-step 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