Definition:Perpendicular Bisector
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Definition
Let $AB$ be a line segment.
The perpendicular bisector of $AB$ is the straight line which:
- is perpendicular to $AB$
- passes through the point which bisects $AB$.
Also known as
The perpendicular bisector of a line segment is also known as its mediator.
Also see
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It follows from the parallel postulate that, in Euclidean geometry, the perpendicular bisector for any given line segment is unique.
- Results about perpendicular bisectors can be found here.
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): mediator
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): perpendicular bisector