# Angle bisector worksheet • Section 1 of the angle bisector practice worksheet contains 21 skills-based angle bisector questions, in 3 groups to support differentiation
• Section 2 contains 3 applied angle bisector questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 3 foundation and higher level GCSE exam style angle bisector questions
• Answers and a mark scheme for all angle bisector questions are provided
• Questions follow variation theory with plenty of opportunities for students to work independently at their own level
• All questions and resource types created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR and Edexcel exam board

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### Angle bisector at a glance

The angle bisector of a given angle is a line drawn which cuts the angle in half (bisects it). To bisect an angle you will need a pencil, a pair of compasses and a straight edge (ruler). Although we are working with angles, we do not use a protractor when bisecting an angle.

In order to bisect the angle ABC, start by placing the point of the compasses on the vertex of the angle, at B. Draw an arc which intersects both lines AB and BC. Next move the point of the compasses to one of these intersections and draw another arc in the middle of the angle. Repeat this step with the point of the compasses on the other intersection. Finally, draw a straight line from the vertex of the angle to the intersection of the two middle arcs.

The angle bisector theorem states that an angle bisector of an angle in a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

Looking forward, students can then progress to additional geometry worksheets, for example a congruent triangles worksheet For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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