Characteristics of points of concurrency- Landi (H)

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34154  on December 15, 2011

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Characteristics of points of concurrency- Landi (H)

 incenterpoint of concurrency of the three angle bisectors
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Definitions

incenter point of concurrency of the three angle bisectors
incenter equidistant from each side of the triangle
incenter center of the inscribed circle
incenter and centroid always in the triangles interior
circumcenter point of concurrency of the three perpendicular bisectors
circumcenter equidistant from each vertex of the triangle
circumcenter center of the circumscribed circle
circumcenter can lie in the exterior, interior, or on the triangle
orthocenter point of concurrency of the three altitudes
orthocenter in acute triangles, it is in the interior; obtuse- exterior; and it will be the vertex of the right angle
centroid point of concurrency of the three medians
centroid known as the center of mass/gravity
centroid divides each median into parts such that the smaller is half the larger
euler line the line that passes through the orthocenter, centroid and circumcenter
incenter if the triangle is isosceles the ______ is also collinear with the other three points
equilateral if the triangle is ______, all four points coincide (become one single point)

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