GCSE Maths Practice: loci-and-constructions

Question 3 of 10

This question teaches the circumcenter, formed by perpendicular bisectors of a triangle.

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\( \begin{array}{l}\text{What is the point where the perpendicular bisectors of a triangle meet?}\end{array} \)

Choose one option:

Construct perpendicular bisectors of each side; their intersection is the circumcenter.

The circumcenter is the intersection point of the perpendicular bisectors of a triangle. It is equidistant from all three vertices and is the center of the circumscribed circle (circumcircle). Students should practise constructing perpendicular bisectors of each side of a triangle and locating the circumcenter. Understanding the circumcenter is important for geometric proofs, constructions, and solving loci problems. Practising this construction enhances precision with compass and ruler and reinforces concepts of equidistance and symmetry. Mastery is essential for more advanced triangle and locus problems.