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Geometry
Special Segments in Triangles
| Term | Definition |
|---|---|
| midsegment | a segment that connects the midpoints of two sides of a triangle |
| perpendicular bisector | a segment, ray, line, or plane that is perpendicular to a segment at its midpoint |
| equidistant | the same distance |
| circumcenter | the point of concurrency of three perpendicular bisectors of a triangle |
| point of concurrency | the point where three or more lines, rays, or segments intersect |
| angle bisector | a ray that divides an angle into two congruent adjacent angles |
| incenter | the point of concurrency of three angle bisectors of a triangle |
| median of a triangle | a segment from a vertex to the midpoint of the opposite side of a triangle |
| centroid | the point of concurrency of three medians of a triangle |
| altitude of a triangle | a perpendicular segment from a vertex to the opposite side of a triangle, or the line that contains the opposite side |
| orthocenter | the point of concurrency of three altitudes of a triangle |