GCSE Maths Practice: loci-and-constructions

Question 1 of 10

This question teaches which constructions are possible using only a ruler and compass.

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\( \begin{array}{l}\text{Which constructions can be done with only a ruler and compass?}\end{array} \)

Select all correct options:

Use only ruler and compass; avoid measuring angles with a protractor.

Classical geometric constructions involve using only a straightedge and compass to create lines, bisectors, and parallel lines. For example, constructing a perpendicular bisector, angle bisector, or drawing a line parallel through a point can all be done without measuring angles. Measuring an exact angle like 60° requires a protractor and is not allowed in classical constructions. Understanding which constructions are possible with ruler and compass is essential for geometric reasoning, proofs, and exam questions. Students should practise each construction method and visualise the steps to gain confidence. Mastery ensures accuracy and prepares for more complex constructions involving loci and triangle properties.