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Geometry 5.3 Vocab
Concurrent Lines, Medians, and Altitudes
Term | Definition |
---|---|
concurrent | when three or more lines intersect at one point |
circumcenter | the point of concurrency of the perpendicular bisectors of a triangle |
Theorem 5-6 | the perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the verticies |
Theorem 5-7 | The bisectors of the angles of a triangle are concurrent at a point equidistant from the sides |
incenter | the point of concurrency of the angle bisectors of a triangle |
median | a segment whose endpoints are a vertex and the midpoint of the opposite side |
centroid | the point of concurrency of the medians |
altitude | the perpendicular segment from a vertex to the line containing the opposite side |
orthocenter | the point of concurrency of the line containing the altitudes |
Theorem 5-8 | the medians of a triangle are concurrent at a point that is two thirds the distance from each vertex to the midpoint of the opposite side |
Theorem 5-9 | the lines that contain the altitudes of a triangle are concurrent |