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Math Help - Pointwise Characterization of Angle Bisector

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    Pointwise Characterization of Angle Bisector

    The angle bisector of angle BAC is a ray AD such that AD is between AB and AC and the measure of angle BAD = the measure of angle DAC. The distance from a point to a line is measured along a perpendicular.

    Prove the following theorem. Pointwise Characterization of Angle Bisector. A point P lies on the bisector of angle BAC if and only if P is in the interior of angle BAC and the distance from P to AB equals the distance from P to AC.
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    Are you asking us to simply do this for you?
    You do understand that this is not a homework service?
    If so, then you should know better.
    What have you done on this theorem?
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