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Medians, Altitudes, and Angle Bisectors Honors Geometry Mr. Manker.

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Presentation on theme: "Medians, Altitudes, and Angle Bisectors Honors Geometry Mr. Manker."— Presentation transcript:

1 Medians, Altitudes, and Angle Bisectors Honors Geometry Mr. Manker

2 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.

3 Concurrency  The point of concurrency (intersection) of the medians of a triangle is called the CENTROID.

4 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.

5 Concurrency  The point of intersection of the altitudes of a triangle is called the orthocenter.

6 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.

7 Concurrency  The point of intersection of the angle bisectors of a triangle is called the incenter.


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