GCSE Maths Practice: loci-and-constructions

Question 8 of 10

This question introduces the locus of points a fixed distance from a point.

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\( \begin{array}{l}\text{What is the locus of points exactly 3 cm from a fixed point?}\end{array} \)

Choose one option:

Use a compass to draw a circle centered on the fixed point with the given radius.

Points equidistant from a single fixed point form a circle, where the radius equals the given distance. Understanding this is fundamental for geometric constructions, compass work, and coordinate geometry. Students can practise by drawing circles with different radii, visualising the equidistance property, and labelling points on the circumference. Mastery of this concept supports understanding loci in more complex constructions, including intersection points, tangent lines, and inscribed shapes. Practising these problems develops both geometric reasoning and construction skills.