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concurrency in hexagon with AB = BC =CD = DE = EF = FA, AD = BE = CF

Source: 2022 South Russian Girls MO - Assara Juniors p8

February 28, 2024
geometryhexagonconcurrencyconcurrent

Problem Statement

About the convex hexagon ABCDEFABCDEF it is known that AB=BC=CD=DE=EF=FAAB = BC =CD = DE = EF = FA and AD=BE=CFAD = BE = CF. Prove that the diagonals ADAD, BEBE, CFCF intersect at one point.
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