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Math Help - Diagonals in 4-teral

  1. #1
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    Diagonals in 4-teral

    In a convex quadrilateral ABCD points X and Y are center of AB and CD respectively, while diagonals meet at E. Show that the line containing the bisector of angle BEC is perpendicular to line XY iff AC=BD.


    I'm stuck. Ideas, clues ,please.
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  2. #2
    Pim
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    AC = BD implies ABCD is a rhombus
    Also, drawing pictures helps. Supplying a picture also shows that you put some effort in trying this question yourself.
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