GCSE Maths Practice: loci-and-constructions

Question 1 of 10

This question teaches constructing triangles using the Side-Angle-Side (SAS) method.

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\( \begin{array}{l}\text{Which method is used to construct a triangle given two sides and the included angle?}\end{array} \)

Choose one option:

Draw one side, use compass for arcs based on the included angle, then connect intersections.

When two sides and the included angle of a triangle are known, the SAS method is used to construct it. Students should draw one side, then use a compass to mark arcs from each endpoint using the given angle. Connecting these points forms the triangle. Practising SAS construction develops accuracy, geometric reasoning, and familiarity with classical methods. Understanding this method is essential for solving loci and triangle problems and preparing for geometric proofs. Visual diagrams reinforce the relationship between sides and included angles, and repeated practice ensures precision in constructions.