MathDB
Consecutive Points

Source:

July 27, 2008
AMCUSA(J)MOUSAMO

Problem Statement

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.
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