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Math Help - find 4th coordinate of parallelogram

  1. #1
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    Smile find 4th coordinate of parallelogram

    How do I find the x and y values algebraically of the fourth coordinate of a parallelogram if I know the other 3 points?

    TYIA
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  2. #2
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    Quote Originally Posted by hello View Post
    How do I find the x and y values algebraically of the fourth coordinate of a parallelogram if I know the other 3 points?

    TYIA
    Hi

    If you know the coordinates of A, B, C and you want to find the coordinates of D such that ABCD is a parallelogram then you can use the vector relation
    \overrightarrow{AB} = \overrightarrow{DC} which leads to

    x_B - x_A = x_C - x_D

    y_B - y_A = y_C - y_D

    from which you can find the coordinates of D
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  3. #3
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    thanks for the quick response
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