Perpendicular bisector - GCSE Maths Definition

Reviewed by: Dan Finlay

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A perpendicular bisector is a line that intersects a line segment (part of a line with a start and end point) at 90° and divides that line segment exactly in half. Every circle will have a radius that is the perpendicular bisector of a chord - i.e. for every chord in a circle, there is a radius that will be its perpendicular bisector.

In GCSE Mathematics, questions may require you to construct a perpendicular bisector accurately using pencil, ruler and compasses. Recognising situations that involve perpendicular bisectors can help solve problems without the need for accurately constructed diagrams.

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Dan Finlay

Reviewer: Dan Finlay

Expertise: Maths Subject Lead

Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.

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