Segments inside a triangle
Terms in this set (10)
Perpendicular bisector of a segment
A segment, ray, line, or plane that is perpendicular to a segment at its midpoint
a ray that divides an angle into two congruent angles
Perpendicular bisector of a triangle
is a line (or ray or segment) that is perpendicular to a side of the triangle at the midpoint of the side. Three or more lines (or rays or segments) intersect in the same point
angle bisector of a triangle
A segment that bisects an angle of the triangle and has one endpoint at a vertex of the triangle and the other endpoint at another point on the triangle.
median of a triangle
a segment from a vertex to the midpoint of the opposite side. The medians of a triangle intersect at a point that is two thirds of the distance from each vertex to the midpoint of the opposite side this is called Concurrency of Medians of a Triangle.
altitude of a triangle
is the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side
circumcenter of a triangle
the point of concurrency of the perpendicular bisectors of the sides of the triangle. The perpendicular bisectors of a triangle intersect at a point that is equidistant from the vertices of the triangle this is called Concurrency of Perpendicular Bisectors of a Triangle.
incenter of a triangle
the point of concurrency of the three angle bisectors of a triangle. The angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangle.
centroid of a triangle
is the point where the three medians of the triangle meet.
orthocenter of a triangle
Is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.