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Activity 3.8
Assignment 3.17
Points of Concurrency in Triangles
Objectives
Name and identify the perpendicular bisectors of sides of a triangle. Name the circumcenter.
Name and identify angle bisectors of a triangle. Name the incenter.
Name and identify the medians of a triangle. Name the centroid.
Assignment 3.9
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About Geometry Worksheet Assignment 3.17:
Assignment 3.17 is an introduction to points of concurrency in triangles.
Prerequisite Skills: Name perpendicular bisectors (Assignment 2.17). Name angle bisectors (Assignment 2.15). Name medians in triangles (Assignment 3.15).
Theorem: The perpendicular bisectors of the sides of a triangle are concurrent.
Definition: The point of concurrency is the circumcenter.
Theorem: The bisectors of the angles of a triangle are concurrent.
Definition: The point of concurrency is the incenter.
Theorem: The medians of a triangle are concurrent.
Definition: The point of concurrency is the centroid.