Maths Resources GCSE Worksheets

# Perpendicular Bisector Worksheet

• Section 1 of the perpendicular bisector worksheet contains 20+ skills-based perpendicular bisector questions, in 3 groups to support differentiation
• Section 2 contains 3 applied perpendicular bisector questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 3 foundation and higher level GCSE exam style perpendicular bisector questions
• Answers and a mark scheme for all perpendicular 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 boards

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### Perpendicular bisector at a glance

The perpendicular bisector of a line segment AB is a line, at right angles to the segment, which goes through the midpoint of the segment, cutting it in half (bisects it). To bisect a line segment, you will need a pencil, a pair of compasses and a straight edge (ruler).

There is a set method to construct perpendicular bisectors of line segments. First, place the point of the compasses on one endpoint of the line segment. With the compasses open to over half the length of the line, draw an arc. Next, move the point of the compasses to the other endpoint of the line and, without changing the angle of the compasses, draw another arc. Finally draw a straight line between the two intersections of the arcs.

It is important to note that a protractor is not used to draw a perpendicular bisector.

Looking forward, students can then progress to additional loci and construction worksheets and other geometry worksheets, for example an angles in polygons worksheet or area and circumference of a circle 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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