MathDB

5

Part of 1975 Canada National Olympiad

Problems(1)

Consecutive Points

Source:

7/27/2008
A,B,C,D A,B,C,D are four "consecutive" points on the circumference of a circle and P,Q,R,S P, Q, R, S are points on the circumference which are respectively the midpoints of the arcs AB,BC,CD,DA AB,BC,CD,DA. Prove that PR PR is perpendicular to QS QS.
AMCUSA(J)MOUSAMO