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Free geometry worksheet to help students name perpendicular bisectors and angle bisectors of triangles and name and identify the circumcenter.

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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Free geometry worksheet to help students name medians of triangles and name and identify incenters and centroids.

Assignment 3.16

Assignment 3.18

About Geometry Worksheet Assignment 3.17:     This assignment can be downloaded for free.

 

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.  

 

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