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SMO 2024 Junior Round 2 Question 2

SMO · SMO 2024 Junior Round 2

Question 2

Let $ABCD$ be a parallelogram and points $E,F$ be on its exterior. If triangles $BCF$ and $DEC$ are similar, i.e. $\triangle BCF\sim\triangle DEC$, prove that triangle $AEF$ is similar to these two triangles.