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Altitudes, Medians, and Perpendicular Bisectors
Term | Definition |
---|---|
Altitude | Segment from a vertex of the triangle, perpendicular to the opposite side (or line containing the opposite side) of the triangle. |
Perpendicular Lines | Have slopes that are opposite reciprocals. |
Point of Concurrency | The point where three or more lines intersect. |
Orthocenter | Point of concurrency of the altitudes of a triangle. |
Median | Segment from a vertex of the triangle to the midpoint of the opposite side of the triangle. |
Centroid | The point of concurrency of the medians of a triangle. |
Circumcenter | Point of concurrency of the perpendicular bisectors of a triangle. |
Incenter | Point of concurrency of the angle bisectors of a triangle. |
Inscribed Circle | A circle inside a triangle where the incenter is the center of the circle and the radius is equal to the distance from the incenter to any of the three sides of the triangle. |
Circumscribed Circle | A circle that contains all the vertices of a polygon. |