To solve the problem in the image, we need to reflect the triangle over the line y = x. To do this, we simply swap the x- and y-coordinates of each vertex.
Original coordinates:
A(8, 6)
B(6, 4)
C(2, 2)
Reflected coordinates:
A'(6, 8)
B'(4, 6)
C'(2, 2)
Therefore, the coordinates of the vertices after a reflection over the line y = x are:
A'(6, 8)
B'(4, 6)
C'(2, 2)