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Quadrilateral Proof

  1. Oct 12, 2005 #1
    Prove that for any regular quadrilateral, the figure formed by joining the midpoint of the four sides will always be a parallelogram

    vector proof
    AND
    non vector proof

    this is geometry and discrete mathematics btw.
     
  2. jcsd
  3. Oct 12, 2005 #2

    HallsofIvy

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    Aren't YOU the one who was given that problem? What have you done on it?
     
  4. Oct 12, 2005 #3
    oh i cant get started
    i hate proofs, i was hoping somenoe can get me started :)
     
  5. Oct 12, 2005 #4

    HallsofIvy

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    What exactly do you mean by a "regular" quadrilateral?? Normal a "regular" polygon has all sides and all angles congruent. The only "regular" quadrilaterals are squares and that's much too easy. It's more interesting if you are only assuming sides are of the same length (a rhombus).
     
  6. Oct 12, 2005 #5
    it is even more interesting if it was any quadrilateral.

    here is a hint, use mid-segements of a triangle.
     
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