what is a perpendicular bisector

A perpendicular bisector is a line or line segment that divides a given line segment into two equal parts, making an angle of 90 degrees at the point of intersection. In other words, it bisects a line segment and is perpendicular to it. The perpendicular bisector of a triangle is a line segment that bisects the sides of a triangle and is perpendicular to the sides, passing through the midpoint of the sides. The point at which all three perpendicular bisectors of a triangle meet is called the circumcenter of the triangle. To construct a perpendicular bisector, a line is drawn at 90 degrees to the original line, passing through the midpoint of the line segment. This can be done using a compass and a straight-edge. The perpendicular bisector of a line segment can be constructed using compasses by drawing circles centered at the endpoints of the line segment and connecting their two intersections. The perpendicular bisector of a triangle is a line passing through the midpoint of each side, which is perpendicular to the given side. The three perpendicular bisectors of a triangle meet at a point known as the circumcenter, which is the center of the triangles circumcircle.