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Linear algebra question

  1. Jan 8, 2004 #1
    I'm not sure how to go about this problem; I'd love a kick in the right direction.

    Prove that the diagonals of a parallelogram bisect each other.
  2. jcsd
  3. Jan 8, 2004 #2
    Think of it in this terms: what if they don't? what happens then?
  4. Jan 8, 2004 #3


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    Staff Emeritus
    Science Advisor

    Since this is titled "linear algebra question", do this:

    Set up a coordinate system so one corner of the parallelogram is at (0,0) and one side along the x-axis. Then another vertex is at (a, 0), a third at (b,c) and the fourth at (a+b,c).

    Now find the midpoint of each diagonal.
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