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Medians, Altitudes, and Angle Bisectors Honors Geometry Mr. Manker Median If a segment connects a vertex of a triangle to the midpoint of the opposite side, then it is a median. If a segment is a median, then it divides the side to which it is drawn into two congruent segments. Concurrency The point of concurrency (intersection) of the medians of a triangle is called the CENTROID. Altitude If a segment connects a vertex of a triangle to its base at a perpendicular (right angle), then it is an altitude. If a segment is an altitude, then it intersects the side to which it is drawn at a right angle. Concurrency The point of intersection of the altitudes of a triangle is called the orthocenter. Angle Bisector If an angle is bisected, then it is divided into two congruent angles. If an angle is divided into two congruent angles, then it is bisected. Concurrency The point of intersection of the angle bisectors of a triangle is called the incenter.