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EA,FC and BD are concurrent

Source: Kosovo Mathematical Olympiad 2022, Grade 9, Problem 3

March 6, 2022
geometryparallelogram

Problem Statement

Let ABCDABCD be a parallelogram and ll the line parallel to ACAC which passes through DD. Let EE and FF points on ll such that DE=DF=DBDE=DF=DB. Show that EA,FCEA,FC and BDBD are concurrent.
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