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The medians BD and CE in triangle ABC are produced to X and Y respectively so that BD=DX and CE=EY. Prove that X,A, and Y lie in a straight line.

I tried this question, it made no sense to me...i drew the picture and i named the interesting point between BD and CE "F". Then i proved that Traingle BYF is congruent to triangle CXF (SAS)...and then i have noo clue wut to do..PLz Help!!

Thank u!

Tanya