Angle Bisector Theorem If then a point is on the bisector of an angle, it is equidistant from the two sides of the angle. Converse of the Angle Bisector Theorem If then a point is in the interior of an angle and is it lies on the bisector of the angle. equidistant from the sides of the angle, Incenter Theorem The angle bisectors of a triangle intersect at a point that is equidistant from the of the sides triangle. Show: Find the measure of . For what value of does lie on the Ex 1: Ex 2: x P bisector of ? In the diagram, is the incenter of . Find G GW. Ex 3: Prove the Angle Bisector Theorem Ex 3: Given: is on the angle bis. of D Prove:
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. Incenter Theorem The angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangle. Show: Ex 1: Find the measure of . Ex 2: For what value of x does P lie on the bisector of ? Ex 3: In the diagram, G is the incenter of . Find GW. Ex 3: Prove the Angle Bisector Theorem Given: D is on the angle bis. of Prove:
student_notes_-_geom_-_key_-_chapter_5_-_larson_cc.docx