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Learning objective

Identify line symmetry and the order of rotational symmetry for various shapes, including triangles and quadrilaterals, as well as understanding the symmetry properties of three-dimensional shapes like prisms, cylinders, pyramids, and cones, including their planes and axes of symmetry.

Read the explanation, check the common trap, then practise with flashcards and questions.

Exam focus

  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsExtended GeometrySupplement content

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Quick explanation

Identify line symmetry and the order of rotational symmetry for various shapes, including triangles and quadrilaterals, as well as understanding the symmetry properties of three-dimensional shapes like prisms, cylinders, pyramids, and cones, including their planes and axes of symmetry

  • This point belongs to Symmetry, especially Symmetry outcomes.
  • You need to be able to identify line symmetry and the order of rotational symmetry for various shapes, including triangles and quadrilaterals, as well as understanding the symmetry properties of three-dimensional shapes like prisms, cylinders, pyramids, and cones, including their planes and axes of symmetry.
  • The key ideas to know are Determine, Describe, and State.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

DetermineDescribeState

Why it matters

This objective helps connect Symmetry outcomes to exam-style questions, flashcards, and revision notes for Symmetry.

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Paper 2 structured question: Symmetry

Paper 2Core or Extended Mathematics4 marks

Diagram Description

Regular Pentagonal Prism

A prism with regular pentagon bases and rectangular sides.

ShapeSymmetry Property
Regular pentagonal prismLines of symmetry and planes of symmetry
  1. a

    State the number of lines of symmetry of the pentagonal base.

    Aim for approximately 1 distinct marking point.

    [1]
  2. b

    Describe the planes of symmetry of the pentagonal prism.

    Aim for approximately 3 distinct marking points.

    [3]
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