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Medians, Altitudes, and Angle Bisectors Honors Geometry Mr. Manker
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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.
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Concurrency The point of concurrency (intersection) of the medians of a triangle is called the CENTROID.
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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.
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Concurrency The point of intersection of the altitudes of a triangle is called the orthocenter.
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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.
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Concurrency The point of intersection of the angle bisectors of a triangle is called the incenter.
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