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Angle Bisector A segment that cuts an angle in half.

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Presentation on theme: "Angle Bisector A segment that cuts an angle in half."— Presentation transcript:

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3 Angle Bisector A segment that cuts an angle in half

4 B A C D 12

5 G F H I

6 Point of Concurrency Incenter - The point of concurrency formed by the intersection of the three bisectors of a triangle.

7 Incenter It is the same distance from each side of the triangle to the incenter.

8 The angle bisectors of the triangle meet at point P. Find PF.

9 The angle bisectors of triangle TUV meet at point W. Find the value of d F Y E 4d - 1 V T U W 2d + 7

10 Median A segment from the vertex of a triangle to the midpoint of the opposite side. Median Vertex

11 Point of Concurrency Centroid – The point of concurrency formed by the intersection of the three medians of a triangle

12 Centroid The centroid is two-thirds of the distance from each vertex to the midpoint of the opposite side.

13 In  ABC, AN, BP, and CM are medians. A B M P E C N If AN = 12, find AE.

14 In  ABC, AN, BP, and CM are medians. A B M P E C N If CE = 16, find EM.

15 In  ABC, AN, BP, and CM are medians. A B M P E C N If EP = 3, find EB and BP.

16 Special Segments in the Coordinate Plane


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