March 28th, 2018, 02:23 AM  #1 
Newbie Joined: Mar 2018 From: VN Posts: 1 Thanks: 0  GF is the radical axis
Given $\Delta ABC$. $D,E$ lie in $AC,AB$. $BD \cap CE =$ {$F$}. $(ADE) \cap (ABC) = ${$G,A$}. Let $M,N,P,Q$ be the midpoint of $BC,ED,EB,CD$, respectively. Prove that $G$F is the radical axis of $(GMN)$ and $(GPQ)$ 

Tags 
axis, geometry, midpoints, radical, similarity 
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