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?

Suppose line g is the line with equation yx Given A85 B73 and C17 what are the coordinates of the vertices of ABC for the reflection class=

Respuesta :

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

[tex]A(x,y)\rightarrow A^{\prime}(y,x)[/tex]

Determine the coordinates of the vertices of triangle after reflection.

[tex](6,3)\rightarrow(3,6)[/tex][tex](8,-3)\rightarrow(-3,8)[/tex][tex](-2,-6)\rightarrow(-6,-2)[/tex]

So vertices of triangle after reflection is,

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