MathDB
Parallelity with barycenter

Source: Czech-Polish-Slovak Junior Match 2024, T-1

May 29, 2024
geometry proposedgeometrybarycenterparallelogram

Problem Statement

Let GG be the barycenter of triangle ABCABC. Let DD be a point such that AGDBAGDB is a parallelogram. Show that BG∥CDBG \parallel CD.
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