What is a perpendicular bisector?

A perpendicular bisector is a line segment that intersects another line segment at a 90-degree angle (perpendicular) and divides it into two equal parts (bisects it).

Key properties of a <a href="https://www.wikiwhat.page/kavramlar/perpendicular%20bisector">perpendicular bisector</a>:

  • It forms a <a href="https://www.wikiwhat.page/kavramlar/right%20angle">right angle</a> (90°) with the line segment it bisects.

  • It passes through the <a href="https://www.wikiwhat.page/kavramlar/midpoint">midpoint</a> of the line segment it bisects.

  • Any point on the perpendicular bisector is equidistant from the two endpoints of the line segment it bisects. This is a crucial property used in geometric constructions and proofs.

  • The perpendicular bisector is unique for a given line segment.