Question

the vertices of a triangle are P(4,-6), Q(5,-6), and R(-2,6). what are the vertices of the image reflected across the line y=x

Answer 1

Given :

The vertices of a triangle are P(4,-6), Q(5,-6), and R(-2,6)

The triangle will be reflected a cross the line: y = x

The rule of reflection across the line y = x will be :

$(x,y)\rightarrow(y,x)$

So, the images of the points will be as following :

P = ( 4 , -6 ) , P' = ( -6 , 4 )

Q = ( 5 , -6 ) , Q' = ( -6 , 5 )

R = ( -2 , 6 ) , R ' ( 6 , -2 )