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Geometry 5.3 Vocab

Concurrent Lines, Medians, and Altitudes

TermDefinition
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
Created by: cjung228