Geometry

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line segment ab is the diameter of circle O whose center has coordinates (6,8) . what are the coordinates of point b if the coordinates of point a are (4,2)

  • Geometry -

    If centre has (6,8) and one end of the diameter has (4,2), add Δx and Δy to the centre to get the other end of the diameter, namely,
    (Δx,Δy) = (6-4, 8-2) = (2,6)
    So the other end of the diameter would be (6+2,8+6)=(8,14).

    Check: the mid-point of the diameter should be the centre:
    ((4+8)/2,(2+14)/2)=(6,8) = centre of circle.

  • Geometry -

    (1,3)

  • Geometry -

    Answer= (1,3)

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