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Angle bisector theorem
if a point is on the bisector of an angle then it is equidistant from the two sides of the angle.
Converse of the angle bisector theorem
if a point is in the interior of an angle and is equidistant from the sides of the angle, then it lies on the bisector of the angle.
Concurrency of angle bisectors of a triangle
the angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangle.
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