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Chapter 5 Angle Bisectors. Angle Bisector A ray that bisects an angle into two congruent angles.

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Presentation on theme: "Chapter 5 Angle Bisectors. Angle Bisector A ray that bisects an angle into two congruent angles."— Presentation transcript:

1 Chapter 5 Angle Bisectors

2 Angle Bisector A ray that bisects an angle into two congruent angles.

3 Angle bisector theorem If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.

4 A B C If then D

5 ANGLE BISECTOR OF A TRIANGLE A bisector of an angle of a triangle

6 Incenter of the triangle The point of concurrency of the angle bisectors Always lies inside the triangle!

7 P B C A Always Inside!

8 Angle bisector formula Incenter to sides same length.

9 P B C A D F E

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