Question

Proof of converse of interior angle bisector theorem

Answer 1

Step-by-step explanation:

Angle Bisector Theorem Converse: If a point is in the interior of an angle and equidistant from the sides, then it lies on the bisector of the angle.

Because the Angle Bisector Theorem and its converse are both true we have a biconditional statement. We can put the two conditional statements together using if and only if. A point is on the angle bisector of an angle if and only if it is equidistant from the sides of the triangle. Like perpendicular bisectors, the point of concurrency for angle bisectors has interesting properties.