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Points of Concurrency

Summary of triangle centers

There are many types of triangle centers. Below are four of the most common.

Incenter		Located at intersection of the angle bisectors. See Triangle incenter definition
Circumcenter		Located at intersection of the perpendicular bisectors of the sides. See Triangle circumcenter definition
Centroid		Located at intersection of medians. See Centroid of a triangle
Orthocenter		Located at intersection of the altitudes of the triangle. See Orthocenter of a triangle

Orthocenter: The point where the three altitudes of a traingle intersect.


A median of a triangle joins a vertex with the midpoint of the opposite side. The point where the medians intersect is the centroid. The centroid is considered the center of gravity or center of mass of a triangle.


Circumcenter: the point where the perpendicular bisectors of the sides of a triangle meet.


The incenter is where the angle bisectors of a triangle meet.