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Math Help - Geometry

  1. #1
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    Geometry

    ABCD is a quadrilateral with midpoints W,X,Y,Z as shown in the diagram below.

    Prove that the lines joining the midpoints of the opposite sides bisect each other, giving reasons.

    Could anyone please give me a hint on how to start?
    Attached Thumbnails Attached Thumbnails Geometry-untitled.bmp  
    Last edited by xwrathbringerx; October 5th 2008 at 08:37 PM.
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  2. #2
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    Suppose that \left\{ E \right\} = \overline {XZ}  \cap \overline {WY} .
    By the midpoint theorem \overline {WX} \parallel \overline {AC} \,\& \,\overline {YZ} \parallel \overline {AC} .
    From that we can get \Delta XWE \cong \Delta ZYE.
    Now carry on.
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  3. #3
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    Sori but what do you mean by: .
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  4. #4
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    Quote Originally Posted by xwrathbringerx View Post
    Sori but what do you mean by: .
    Surely that is only elementary set notation!
    E is the point common to line segment XZ and line segment WY.
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