An angle bisector is a line or ray that divides an angle into two congruent angles. In a triangle, the angle bisector is a line segment that originates from a vertex and divides the opposite angle into two equal parts. The angle bisector intersects the opposite side or its extension. The point where the angle bisector intersects the opposite side is called the incenter of the triangle
Median: A median of a triangle is a line segment that connects a vertex of the triangle to the midpoint of the opposite side. In other words, it joins a vertex to the midpoint of the side opposite to that vertex. Every triangle has three medians, one originating from each vertex. The medians intersect at a point called the centroid of the triangle. The centroid divides each median in a ratio of 2:1, with the longer segment being closer to the vertex.
Perpendicular Bisector: A perpendicular bisector is a line or line segment that is perpendicular to a given line segment and passes through its midpoint. In a triangle, the perpendicular bisector is a line segment that is perpendicular to a side and passes through its midpoint. Each side of a triangle has a perpendicular bisector, resulting in three lines or line segments. The point where the perpendicular bisectors of a triangle intersect is called the circumcenter of the triangle.
An altitude of a triangle is a line segment that is perpendicular to a side of the triangle and passes through the opposite vertex. In other words, it is a line segment that extends from a vertex and is perpendicular to the opposite side or its extension. A triangle has three altitudes, one originating from each vertex.