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 $\angle BAC$ .

#Geometry

Easy Math Editor

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Comments

Eduardo Elael, were are your???

Marciø Aleksandravičius - 5 years, 4 months ago

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 - 5 years ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$