1. 5.3.1 Use Angle Bisectors of Triangles Chapter 5: Relationships within Triangles SWBAT: Define and use Angle Bisector Theorem. Define incenter You will accomplish this during homework

2. Angle Angle Bisector and Distance from a Line An Angle Bisector is a ray that divides an angle in to two congruent adjacent angles The distance from any point to a line is the length of the perpendicular from the line to the point Angle Bisector Distance from the point to the ray (line)

3. Angle Bisector Theorem If a points is on the bisector of an angle, then it is equidistant from the two sides of the angle. Given:Then:

4. Converse of the Angle Bisector Theorem If a points 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. Given: Then:

5. Angle Bisectors and Triangles Concurrency of angle bisectors of a triangle is called an incenter The point of concurrency of the angle bisectors are always inside of the triangle The point of concurrency of the angle bisectors is the center of an inscribed circle

6. Free time work P. 313 2, 3 – 17 odd + (6, 12), 19, 24, 25, 36, 42 These are the same, which do you prefer? P. 313 2, 3 – 17 odd, 6, 12, 19, 24, 25, 36, 42