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Math Help - Co-ordinates

  1. #1
    eechlay
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    Co-ordinates

    If you know the equation of a line and the mid-point of a line segment, how do you find the end points?

    Is this enough information to be able to find them? I'm supposed to find the vertices B and D of a square ABCD, and I also know the co-ordinates of vertices A and C.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by eechlay
    If you know the equation of a line and the mid-point of a line segment, how do you find the end points?

    Is this enough information to be able to find them? I'm supposed to find the vertices B and D of a square ABCD, and I also know the co-ordinates of vertices A and C.
    From the co-ordinates of A and C find the slope m of the line between them
    and their mid point M. Now the other two vertices lie on a line at right
    angles to AC (hence of slope -1/m) passing through M. Also the lengths
    of MB and MD are equal to MA, which you can find easily.

    RonL
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