GCSE Maths Practice: loci-and-constructions

Question 6 of 10

This question introduces the concept of an angle bisector in triangles and other polygons.

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\( \begin{array}{l}\text{What is the name of the line that cuts an angle exactly in half?}\end{array} \)

Choose one option:

Remember: 'bi-' means two, so an angle bisector splits the angle into two equal parts. Draw carefully to see the division.

An angle bisector is a line or ray that divides an angle into two equal angles. Understanding angle bisectors is important in geometry for solving problems related to triangle properties, loci, and constructions. In a triangle, the angle bisectors of each vertex intersect at a point called the incenter, which is the center of the triangle's incircle. Students should practise identifying angle bisectors in diagrams, drawing them using a ruler and compass, and recognising their properties. Angle bisectors also help in constructing equal angles, finding incenter points, and solving geometric proofs. Visualising how the bisector divides an angle and applying this concept in different triangles develops spatial reasoning and geometric intuition. Mastery of angle bisectors strengthens problem-solving skills in both theoretical and practical geometry contexts.