MathDB
Conditional geometry with parallelogram

Source: Bulgarian Spring Tournament 2024 11.2

March 31, 2024
geometryparallelogram

Problem Statement

Let ABCDABCD be a parallelogram and a circle kk passes through A,CA, C and meets rays AB,ADAB, AD at E,FE, F. If BD,EFBD, EF and the tangent at CC concur, show that ACAC is diameter of kk.
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