Linked from

The 18 pages that link to Perpendicular bisector, each with the reason it gives.

• CircumcircleRelated: The perpendicular bisectors of triangle sides meet at the circumcenter.

• EllipseRelated: The perpendicular bisector of the foci segment is the ellipse’s major axis.

• CircumcenterRelated: The three perpendicular bisectors intersect at the circumcenter.

• Isosceles triangleRelated: Every point on this line is equally distant from the base's endpoints, allowing an isosceles triangle to be constructed.

• Line segmentRelated: It provides a geometric construction based on a segment’s equal halves.

• MidpointRelated: Its defining intersection is the segment’s midpoint.

• Triangle centersRelated: The perpendicular bisectors of a triangle’s sides meet at the circumcenter.

• Wigner–Seitz cellRelated: Each cell face lies on a bisector between the central lattice point and a neighbor.

• Napoleon's theoremRelated: Perpendicular bisectors locate the circumcenters used in alternate versions of the theorem.

• Bottema's theoremRelated: It illustrates how a perpendicular condition can encode a precise geometric constraint.