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Easy geometry problem - TT 2009 Junior-A4

Source:

September 3, 2010
geometry

Problem Statement

Let ABCDABCD be a rhombus. PP is a point on side BC BC and QQ is a point on side CDCD such that BP=CQBP = CQ. Prove that centroid of triangle APQAPQ lies on the segment BD.BD.
(6 points)
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