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Unformatted text preview: The Special Points of a Triangle, say ABC The Centroid of ABC = the point of concurrence of the three medians. (See Theorem 4.2.7 and Corollary 4.2.8) A
MC MB < Centroid B
MA C The Circumcenter of A
MC MB ABC = the point of concurrence of the perpendicular bisectors of the three sides of the triangle. (See Theorem 4.6.1) < Circumcenter B
MA C < Circumcircle The Orthocenter of A
FC ABC = the point of concurrence of the three lines containing the three altitudes of the triangle. (See Theorem 4.6.4)
FB < Orthocenter B FA C The Special Points of a Triangle, say The Incenter of ABC ABC = the point of concurrence of the angle bisectors of the three interior angles of the triangle. (See Theorem 4.6.3) A < Incenter < Incircle B C An Excenter of ABC = the point of concurrence of the angle bisector of the interior angle at one of the vertices of the triangle and the angle bisectors A of the exterior angles at the other two vertices of the triangle. (See Theorem 4.6.5) B C < An Excenter ...
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 Spring '10
 Shirley

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