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TRIANGLE CENTERS: POINTS OF CONCURRENCY. By Mrs. Pullo. Angle bisector. Angle bisector bisects the angle only. Incenter. Point of concurrency formed by the intersection of the three angle bisectors of a triangle. PERPENDICULAR BISECTOR.
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TRIANGLE CENTERS: POINTS OF CONCURRENCY By Mrs. Pullo
Angle bisector Angle bisector bisects the angle only.
Incenter • Point of concurrency formed by the intersection of the three anglebisectors of a triangle
PERPENDICULAR BISECTOR Each line bisects the side and is perpendicular to the same side. It is the only line that does not Come from the vertex of the three.
CIRCUMCENTER • Point of concurrency formed by the intersection of three perpendicular bisectors of the sides of a triangle
ALTITUDE The altitude comes from the vertex and runs perpendicular to the side across from the vertex
ORTHOCENTER • Point of concurrency formed by the intersection of the three altitudes of a triangle Orthocenter
Median The median is the segment from the vertex to the midpoint of the opposite side. It is 2/3 the length of the segment From the vertex to the Centroid where all three lines intersect.
Centroid • Point of concurrency formed by the intersection of the three medians of a triangle
IN A NUT SHELL Median – Centroid Angle Bisector – Incenter Altitude – Orthocenter Perpendicular Bisector - Circumcenter Angle Bisector: The Incentor is equidistance to the sides Perpendicular Bisector – the Circumcenter is equidistance to the vertex