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Geometry Section 5.3

Concurrent Lines, Medians, and Altitudes

QuestionAnswer
Concurrent When 3 or more lines intersect in one point.
Point of Concurrency The point at which concurrent lines intersect.
Circumcenter Point of concurrency of the perpendicular bisectors of a triangle.
Circumscribed Circle A circle whose center is the circumcetner of a triangle and whose radius is the distance from the circumcenter to a vertex of the triangle. A circumbscribed circle is OUTSIDE of the triangle.
Incenter The point of concurrency of the angle bisectors of a triangle.
Inscribed Circle A circle whose center is the incenter of a triangle and whose radius is the distance from the incenter to the side of the triangle. An insribed circle is INSIDE of the triangle.
Median A segment whose endpoints are a vertex and the midpoint of the opposite side of a triangle.
Centroid The point of concurrency of the medians of a triangle.
Altitude The perpendicular segment from a vertex of a triangle to the line containing the opposite side.
Orthocenter The point of concurrency of the lines containing the altitudes of a triangle.
Created by: hansonll