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Parallelogram with coordinates

  1. Feb 28, 2008 #1
    1. The problem statement, all variables and given/known data

    Parallelogram ABCD is given, with A(2,4), B(5,7), C(12,8). Find the coordinates of D(x,y).

    2. Relevant equations

    3. The attempt at a solution

    Sorry but, I don't have any idea.
  2. jcsd
  3. Feb 28, 2008 #2
    here it is a hint, although you haven't shown any work at all! do u know how to find the end points C(x2,y2) of a segment if you are given the first point say A(x1,y1), and another point in the segment say B(x,y), and a ratio, say k. ? well the formula is

    x=(x1+kx2)/(1+k), same for y.
    in your problem, you probably know that the diagonals of a regular paralelogram bisect each other.. so what u have to do is first find the coordinates of the point where the diagonals bisect each other, and then you will end up with an idenitcal problem that i explained above!
  4. Feb 29, 2008 #3
    Thank you very much. It helped. D(9,5)
  5. Feb 29, 2008 #4
    It looks fine, although i personally haven't checked it!
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