triangle segments and concurrencies

point of concurrency

point where three or more lines intersect.

circumcenter

point where the perpendicular bisectors of a triangle intersect, equidistant from the vertices.

angle bisector

line that divides an angle into two equal angles.

incenter

point where the angle bisectors of a triangle intersect, equidistant from the sides

median

line segment from a vertex of a triangle to the midpoint of the opposite side

centroid

point where the medians of a triangle intersect, divdes each median into two segments with a 2/3 ratio

altitude

perpendicular line segment from a vertex of a triangle to the opposite side

orthocenter

point where the altitudes of a triangle intersect, c

perpendicular bisector

lines passing through the midpoint of each side which are perpendicular to the given side