GCSE Maths Practice: loci-and-constructions
This question teaches the locus of points a fixed distance from a line.
Draw the original line, then two parallel lines 3 cm away to define the strip.
Points within 3 cm of a straight line form a strip bounded by two parallel lines. This locus satisfies the condition that all points are exactly 3 cm from the original line. Students can practise drawing the line, then using a compass or ruler to mark the parallel lines on each side. Understanding this locus is essential for geometric constructions, proofs, and coordinate geometry. Practising these constructions develops accuracy, spatial reasoning, and geometric intuition. Mastery prepares students for more advanced problems involving perpendicular bisectors, angle bisectors, and combined loci.