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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. |