Geometry
Activity:
Angle Bisectors in a Triangle
Posted on Feb 26, 2009
Topic: Triangles and Their Centers
In this activity, students will explore the relationships between an angle bisector and segments in a triangle. They will determine the distances from an angle bisector to the sides of the bisected angle. In a triangle, proportional relationships occur when an angle bisector divides the opposite side into two parts.
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Activity Key Steps:
First, students will investigate the Angle Bisector Theorem. Students should see that the angle bisector is equidistant from both sides of the angle.
Next, students will explore an angle bisector in a triangle. Students should see the relationships between the sides of the triangle and the bisector.
As an extension, students will explore the incenter of a triangle.