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This lesson covers ruler-and-compass constructions, loci (the set of points satisfying a given condition), and three-figure bearings. These are practical geometry skills tested in Edexcel GCSE Mathematics, often requiring you to draw accurately with a compass and ruler.
| Term | Meaning |
|---|---|
| Construction | A geometric drawing made using only a compass and straight edge (ruler without measurements) |
| Locus (plural: loci) | The set of all points that satisfy a given condition |
| Bearing | A direction measured clockwise from north, given as a three-figure number (e.g. 045°, 210°) |
| Perpendicular bisector | A line at right angles to a line segment that passes through its midpoint |
| Angle bisector | A line that divides an angle exactly in half |
| Equidistant | The same distance away |
You must be able to perform these constructions using only a pair of compasses and a ruler (straight edge). Construction marks (arcs) must be shown — do not erase them.
This construction finds the midpoint and draws a line at right angles.
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