Bisectors, Medians, and Altitudes of Triangles

 segment with endpoints being a vertex of and the midpoint of the opposite side.

• median
• altitude
• perpendicular bisector
• angle bisector

 segment with endpoints being a vertex of and the midpoint of the opposite side.

• median
• altitude
• perpendicular bisector
• angle bisector

the point of concurrency of the medians and always inside the triangle.

• Orthocenter
• Circumcenter
• Incenter
• Centroid

segment from a vertex to the line containing the opposite side and is perpendicular to the line containing that side.

• median
• altitude
• angle bisector
• perpendicular bisector

the intersections of the altitudes of a triangle.

• Incenter
• Centroid
• Orthocenter
• Circumcenter

when two or more lines intersect at a common point.

• concurrent lines
• Circumcenter
• intersecting lines
• median

The point of concurrency of the perpendicular bisectors.

• Circumcenter
• Orthocenter
• Centroid
• Incenter

The point where concurrent lines intersect.

• incenter
• circumcenter
• orthocenter
• point of concurrency

A line, segment, or ray that passes through the midpoint of a side that is perpendicular to that side.

• Perpendicular bisector
• Angle bisector
• Median
• Altitude

The point of concurrency for the angle bisectors in a triangle.

• Orthocenter
• Incenter
• Centroid
• Circumcenter