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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. · 9 months, 1 week ago