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5-3 Points of Concurrency

5-3 Points of Concurrency. Objective: To identify properties of perpendicular bisectors and angle bisectors. Concurrent : When three or more lines, segments, rays or planes have a point in common. Point of Concurrency : The point of intersection. Point of Concurrency. Concurrent.

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5-3 Points of Concurrency

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  1. 5-3Points of Concurrency Objective: To identify properties of perpendicular bisectors and angle bisectors

  2. Concurrent: When three or more lines, segments, rays or planes have a point in common. Point of Concurrency: The point of intersection. Point of Concurrency Concurrent Not Concurrent

  3. The three perpendicular bisectors of a triangle are concurrent. Point of concurrency is called circumcenter. The circumcenter of a triangle is equidistant from the vertices and is the center of the circle.

  4. The circumcenter of a triangle can be inside, on , or outside a triangle.

  5. Finding the Circumcenter of a triangle.

  6. The point of concurrency of the angle bisectors of a triangle is called the incenterof the triangle. p. 305: 7, 8, 9, 15, 17, 37, 38 The bisectors of the angles of a triangle are concurrent at a point equidistant from the sides of the triangle. P is the center of the circle that is inscribed in the triangle.

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