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Centers of Triangles

Centers of Triangles

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Tutorial

Terminology

Recall each of the four centers of triangles that we have defined:

 

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

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

Centroid- The point of concurrency of the medians of a triangle

Orthocenter- The point of concurrency of the altitudes of a triangle.

 

Assignment 37 #12

Finding the coordinates of a centroid given the coordinates of the triangles vertices

Assignment 37 #14

Finding the coordinates of an orthocenter given the coordinates of the three vertices in a triangle
MISTAKE: x=5 is a VERTICAL line not a horizontal one.