Linear algebra question

  • Thread starter tinfoilhat
  • Start date
  • #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.
 

Answers and Replies

  • #2
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Think of it in this terms: what if they don't? what happens then?
 
  • #3
HallsofIvy
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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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