Let Q0: R2 → R2 be reflection in the x axis, let Q1: R2 → R2 be reflection in the line y = x, let Q-1: R2 → R2 be reflection in the line y = - x, and let R2: R2 → R2 be counterclockwise rotation through y.
(a) Show that Q1 o Q2 = R3
(b) Show that Q0 o R2 = Q-1