Definition--Geometry Basics--Perpendicular Bisector
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Geometry >> Points and Lines >> Definition of a Line

Definition--Geometry Basics--Perpendicular Bisector

Perpendicular Bisector

Perpendicular Bisector

Topic

Geometry Basics

Definition

A line that divides a segment into two equal parts at a 90-degree angle.

Description

A perpendicular bisector is a line that divides a line segment into two equal parts at a right angle (90 degrees). This concept is essential in geometry for constructing and analyzing geometric shapes. For example, the perpendicular bisectors of the sides of a triangle intersect at the circumcenter, which is equidistant from all vertices of the triangle. Understanding perpendicular bisectors is crucial for solving problems related to symmetry and geometric constructions.

Perpendicular Bisector
This triangular truss has a vertical support 
along the perpendicular bisector.

For a complete collection of terms related to Geometry Basics click on this link: Geometry Basics Collection

Common Core Standards CCSS.MATH.CONTENT.HSG.CO.C.9
Grade Range 6 - 12
Curriculum Nodes Geometry
    • Points and Lines
        • Definition of a Line
Copyright Year 2013
Keywords perpendicular bisector, bisector, triangles, circumcenter, defnitions, glossary term