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Triangle segments Geometry (Holt Chapter 5) K.Santos Angle Bisector A segment that divides an angle into two congruent angles. Vertex to opposite side Angle Bisectors in triangles Point of concurrency--incenter Perpendicular Bisector A segment that intersects a segment at its midpoint perpendicularly midpoint to opposite side (perpendicular) Perpendicular Bisectors in Triangles Point of concurrency--circumcenter Median A segment from a vertex of a triangle that intersects the opposite side at its midpoint. vertex to midpoint Medians in triangles Point of concurrency--centroid Midsegment A segment that connects two midpoints on the sides of the triangle. midpoint to midpoint Midsegments in Triangles No point of concurrency Altitude A segment that connects perpendicularly from a vertex to the line containing the opposite side. vertex to opposite side (perpendicular) Altitudes in triangles Point of concurrency—orthocenter