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5.3 Notes Bisectors in Triangles. Concurrent When three or more lines intersect at one point, they are concurrent The point at which they intersect is.

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Presentation on theme: "5.3 Notes Bisectors in Triangles. Concurrent When three or more lines intersect at one point, they are concurrent The point at which they intersect is."— Presentation transcript:

1 5.3 Notes Bisectors in Triangles

2 Concurrent When three or more lines intersect at one point, they are concurrent The point at which they intersect is the point of concurrency

3 The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the vertices Theorem 5-6 Concurrency of Perpendicular Bisectors Theorem

4 The point of concurrency of the perpendicular bisectors of a triangle is called the circumcenter of the triangle. The circle is circumscribed about the triangle Circumcenter

5 What are the coordinates of the circumcenter of the triangle with vertices P (0,6), O (0,0), and S (4,0) Finding the Circumcenter of a Triangle

6 What are the coordinates of the circumcenter of the triangle with vertices A (2,7), B (10,7), and C (10,3) Finding the Circumcenter of a Triangle #2

7 The bisectors of the angles of a triangle are concurrent at point equidistant from the sides of the triangle Theorem 5-7 Concurrency of Angle Bisectors Theorem

8 The point of concurrency of the angle bisectors of a triangle is called the incenter of the triangle. The circle is inscribed in the triangle Incenter

9 Identifying and Using the Incenter of a Triangle

10 Identifying and Using the Incenter of a Triangle #2

11 Homework Mathxlforschool.com Due Sun @ midnight


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