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Points of Concurrency: Centroid, Incenter, Circumcenter, and Orthocenter

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Janelle Cade

on 24 February 2011

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Transcript of Points of Concurrency: Centroid, Incenter, Circumcenter, and Orthocenter

There are 4 points of Concurrency A point of Concurrency is the point where THREE or more lines, segments, or rays intersect The Centroid is where the medians intersect. Medians connect the vertex to the opposite side of a triangle The Incenter is where the angle bisectors intersect.
An Angle Bisector divides the vertices in 1/2 and connect the vertex to the opposite side The circumcenter is where the perpendicular bisectors intersect.
The perpendicular bisectors are perpendicular lines that pass through the midpoint of a side length. The orthocenter is where the altitudes of a triangle intersect.
The altitude is the shortest perpendicular line from the vertex to the opposite side. The location of the orthocenter depends on the type of triangle right: on the triangle Obtuse: outside the triangle acute: inside the triangle Obtuse: outside the triangle right: on the triangle acute: inside the triangle The location of the circumcenter depends on the type of triangle Now let's compare the lines that make up these points of concurrency...
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