Question

Suppose line g is the line with equation y=x. Given A(8,−5), B(7,3), and C(−1,−7), what are the coordinates of the vertices of △A′B′C′ for the reflection?

Answer 1

The point (x,y) on the reflection about y = x axis changes to,

`A(x,y)\rightarrow A^(\prime)(y,x)`

Determine the coordinates of the vertices of triangle after reflection.

`(6,3)\rightarrow(3,6)`
`(8,-3)\rightarrow(-3,8)`
`(-2,-6)\rightarrow(-6,-2)`

So vertices of triangle after reflection is,

(3,6), (-3,8) and (-6,-2)