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Bisectors in Triangles Chapter 5 Section 3. Objective Students will identify properties of perpendicular bisectors and angle bisectors.

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Presentation on theme: "Bisectors in Triangles Chapter 5 Section 3. Objective Students will identify properties of perpendicular bisectors and angle bisectors."— Presentation transcript:

1 Bisectors in Triangles Chapter 5 Section 3

2 Objective Students will identify properties of perpendicular bisectors and angle bisectors.

3 Concurrent Three or more lines that intersect at a given point.

4 Point of Concurrency The point where concurrent lines intersect.

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

6 Circumcenter of the Triangle The point of concurrency of the perpendicular bisectors of a triangle

7 Circumscribed The center of a circle and the circumcenter of a triangle are the same point.

8 Turn to page 302 Look over Problem 1 Try the “Got It” problem on that page.

9 On page 303 Look at Problem 2 Try the Got It problem

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

11 Incenter of a Triangle The point of concurrency of the angle bisectors of a triangle.

12 Inscribed When the center of a circle and the Incenter of a triangle are the same point.

13 On page 304 Look at Problem 3 Try the Got It problem for this example.

14 On page 304 Try problems #1-6 on your own.


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