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Geometry Proof Problem of the day 6

It is back! This one is an original problem of mine. Have fun!

\(BEDC\) is quadrilateral satisfying \(BE=DC\), the diagonals interset at \(F\) . Let \(G,H\ne F\) be on the segments \(CE,BD\) such that \(EG=CF,BH=DF\). If \(BE\cap DC=A\), prove that \(AH,AG\) are isogonals wrt \(\angle BAC\).

Note by Xuming Liang
1 year, 3 months ago

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Sorry for being off topic, but I have no knowledge of certain areas of advanced geometry like Homothety, which are not in wikis. I was wondering if there was a way you could provide me resources, Xuming. Thanks. Sal Gard · 9 months, 1 week ago

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Eduardo Elael, were are your??? Marciø Aleksandravičius · 1 year, 1 month ago

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