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In geometry, three or more lines are said to be concurrent if they intersect at a single point. Four basic types of concurrent lines are altitudes, angle bisectors, medians, and perpendicular bisectors:

-In a triangle, altitudes run from each vertex to the point perpendicular on the opposite line. The point where three altitudes meet is the orthocenter.

-Angle bisectors are rays running from the bisector of each angle of the triangle. The all meet at the incenter.

-Medians connect the vertexes in a triangle to the midpoint of the opposite side. They meet at the centroid.

-Perpendicular bisectors are lines running out of the midpoint of each side in a triangle at 90 degree angles. They meet at the circumcenter.

Compare to collinear. Concurrency is the dual of collinearity.

Mathematical terminology | Elementary geometry

Konverįaj linioj

 

This article is licensed under the GNU Free Documentation License. It uses material from the "Concurrent lines".

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