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Math Help - [SOLVED] Midsegment of Trapezoid

  1. #1
    Junior Member mathhomework's Avatar
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    Question [SOLVED] Midsegment of Trapezoid

    Please help me with this prove.
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  2. #2
    Super Member malaygoel's Avatar
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    Are AB and CD equal?
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  3. #3
    MHF Contributor red_dog's Avatar
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    Let AC\cap BD=O and MN\perp BC, \ M\in AD, \ N\in BC, \ O\in MN

    Then DH=MN and MO=\frac{AD}{2}, \ ON=\frac{BC}{2}

    \Rightarrow MN=MO+ON=\frac{AD+BC}{2}=EF
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  4. #4
    Junior Member mathhomework's Avatar
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    Help!

    Thank you for your answer.
    I don't understand this. Please give me a simple prove.
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  5. #5
    Super Member malaygoel's Avatar
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    See attachment.
    Last edited by malaygoel; June 27th 2009 at 12:05 AM.
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  6. #6
    Junior Member mathhomework's Avatar
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    Thanks a lot!

    I also spent sometime thinking about this problem again and found an another way of solving.

    Triangle BDG is a right isosceles triangle. ADGC is a parallelogram.
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