GCSE Maths Practice: loci-and-constructions

Question 9 of 10

This question explains the types of conditions that define a locus.

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\( \begin{array}{l}\text{Which conditions describe a region in a locus problem?}\end{array} \)

Select all correct options:

Identify the distance conditions and construct the locus accordingly; ignore movement or speed.

Loci are defined by specific conditions that points must satisfy. These often involve distances from lines, points, or regions. For example, points within a set distance from a line form a strip, points equidistant from two points form a perpendicular bisector, and points closer to one point than another define regions based on relative distances. Motion or speed does not define a locus. Understanding these conditions helps students visualise and construct loci accurately, improves geometric reasoning, and provides a foundation for more complex constructions and triangle problems. Practising different loci conditions builds confidence in identifying and drawing the correct regions.