Special Segments in Triangles Vocabulary 2/9/24

Perpendicular Bisector

Perpendicular Bisector

a line, segment, or ray that passes through the midpoint of a segment and is perpendicular to that segment

Concurrent

when three or more lines intersect at a common point

Point of Concurrency

the point where concurrent lines intersect

Circumcenter

the point of concurrency of the perpendicular bisectors

Circumcenter Theorem

is equidistant from the vertices of the triangle

Angle Bisector

divides an angle into two congruent angles

Incenter Theorem

equidistant from the sides of the triangle

Median

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

Centroid Theorem

that is two thirds of the distance from each vertex to the midpoint of the opposite side

Centroid

the point of concurrency of the medians

Altitude

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