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Thread: Help finding missing endpoint

  1. #1

    Help finding missing endpoint

    Find the coordinated of the missing endpoint if E is the midpoint of DF.
    F(5, 8) , E(4, 3)

    I have no idea at all and I can't find any examples. Thanks for helping.

  2. #2
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    Quote Originally Posted by Zaza757 View Post
    Find the coordinated of the missing endpoint if E is the midpoint of DF.
    F(5, 8) , E(4, 3)

    I have no idea at all and I can't find any examples. Thanks for helping.
    I suggest you look up the MIDPOINT FORMULA in your textbook....

    The midpoint formula says that the coordinates of the midpoint of a segment are the average of the coordinates of the endpoints of the segment. That is,

    the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

    One endpoint of the given segment is (5, 8), and the midpoint has coordinates (3, 4), we can let the other endpoint of the segment be (x, y).

    The x-coordinate of the midpoint is the average of the x-coordinates of the endpoints. So, (5 + x)/2 = 3

    Multiply both sides of that equation by 2: 2(5 + x)/2 = 2*3
    5 + x = 6
    x = 1

    So the x-coordinate of point D must be 1. Use a similar approach to find the y-coordinate of point D.

    I'm quite positive that there are examples in your textbook for problems using the midpoint formula...you would not have homework problems like this one if there were NO examples for you to follow.

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