GCSE Maths Practice: loci-and-constructions
This question teaches how to construct a perpendicular from a point to a line using classical methods.
Draw arcs from the point, then arcs from intersections; connect the intersections to form the perpendicular.
Constructing a perpendicular from a point to a line requires using a compass and ruler. Arcs are drawn from the point to intersect the line and then from intersection points to determine the perpendicular line. Measuring angles or estimating halfway points is not part of classical constructions. Students should practise using compass arcs accurately, marking intersections, and connecting them with a straightedge. Mastery of this method ensures accurate constructions for loci, triangle problems, and other geometric constructions. Visualisation and repeated practice build both accuracy and confidence in classical geometric techniques.