geometry

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One endpoint and the midpoint of a segment are given. Find the coordinates of the other endpoint. Show all your work.
A. Endpoint: (-1,9)
Midpoint: (-9,-10)
Endpoint: _______


B. Endpoint: (9,-10)
Midpoint: (4,8)
Endpoint: ________

  • geometry -

    For x,
    -9 is 8 below -1
    So, the other end is 8 below -9, or -17

    Same for y.

    The other problem is the same method.

  • geometry -

    A.(x,y), (-9,-10), (-1,9).
    -9-x = 1/2(-1-x).
    -18-2x = -1-x.
    -x = 17.
    X = -17.

    -10-y = 1/2(9-y).
    -20-2y = 9-y.
    -y = 29.
    Y = -29.

    B. (x,y), (4,8), (9,-10).
    4-x = 1/2(9-x).
    Multiply both sides by 2, and Solve for x.

    8-y = 1/2(-10-y).

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