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GCSE Mathematics · key term
The point that divides a line segment into two equal lengths.
Used by AQA, Edexcel and OCR
Specification G11 · Paper 1, Paper 2, Paper 3
The point halfway along a line segment, equally distant from its two ends.
Revise: Coordinate GeometryA perpendicular bisector combines several coordinate ideas: find a segment's midpoint, find its gradient, then use the perpendicular gradient to write the line through the midpoint.
Specification A8, G11, G25 · Paper 1, Paper 2, Paper 3
For a midpoint, average the two -coordinates and the two -coordinates separately. Keep brackets around negative values when calculating.
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The point exactly halfway between two endpoints of a line segment.
The midpoint of a line segment is halfway between its endpoints.
The point halfway between the endpoints of a line segment, found by averaging their corresponding coordinates.
A point that divides a line segment into two parts of equal length.
Specification 8.02a, 9.02b · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)
Revise: BisectorsA line through the midpoint but at another angle is only a bisector. A perpendicular line that crosses somewhere other than the midpoint is not a bisector.
A point that divides a line segment into two equal lengths.