GCSE Maths Practice: loci-and-constructions

Question 10 of 10

This question teaches the steps to construct an angle bisector using classical methods.

‹

\( \begin{array}{l}\text{Which steps are needed to construct the bisector of an angle?}\end{array} \)

Select all correct options:

Follow the classical construction steps carefully: arcs from vertex, arcs from intersections, connect points.

To construct an angle bisector, draw an arc from the angle's vertex intersecting both sides. Then draw arcs from these intersection points. The intersection of these arcs marks a point through which the angle bisector passes. Connecting the vertex to this intersection forms the bisector. Practising these steps with a ruler and compass builds precision and familiarity with classical constructions. Angle bisectors are foundational for constructing incenters, perpendicular bisectors, and solving loci problems. Mastery enhances accuracy in geometric constructions and strengthens reasoning skills. Repetition and clear labelling of each step reinforce learning and ensure correct constructions.