Bisectors in Triangles Chapter 5 Section 3

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

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

Point of Concurrency The point where concurrent lines intersect.

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.

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

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

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

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

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.

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

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

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

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