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Module 15: Lesson 5 Angle Bisectors of Triangles

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1 Module 15: Lesson 5 Angle Bisectors of Triangles
Vocabulary An angle bisector is a line or line segment that bisects an angle. The definition of the distance between a point and a line is the length of the perpendicular segment from the point to the line.

2 Angle Bisector Theorem
If a point is on the perpendicular bisector of an angle, then it is equidistant from the sides of the triangle.

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

4 If AD = 12.8, what is CD?

5 The location where all 3 angle bisectors of a triangle intersect is called the incenter of the triangle.

6 Incenter Theorem The angle bisectors of a triangle intersect at a point that is equidistant from the sides of a triangle.

7 K V W J L

8 Q X P R Y

9 Homework pages 781-786 #’s 2-17, 21 (all)


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