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Math Help - Convex quadrangle ABCD, midpoints of its sides, diagonals

  1. #1
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    Convex quadrangle ABCD, midpoints of its sides, diagonals

    In a convex quadrangle ABCD points M and N are respectively centres of sides AB and CD. E is the point of intersection of the quadrangle's diagonals. Prove that the line containing bisector of <BEC is perpendicular to the line MN only if AC=BD.
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  2. #2
    Pim
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    I find it funny how this is the exact same question except with M, N and X, Y switched. http://www.mathhelpforum.com/math-he...al-155234.html
    (My reply to this question remains the same as the other one.)
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