The angle bisector theorem states that if a point is on the bisector of an angle, then the point is equidistant from the sides of the angle.

Angle Bisector Theorem Converse

Angle Bisector Theorem Converse

The angle bisector theorem converse states that if a point is in the interior of an angle and equidistant from the sides, then it lies on the bisector of that angle.

incenter

incenter

The incenter is the point of intersection of the angle bisectors in a triangle.

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This concept teaches students properties of angle bisectors and how to apply them.