2026/27 Enrolment Open · Free Assessment
Cambridge IGCSE MathematicsSyllabus 0580Unit 5: Shape and space
Chapter 19

Symmetry

Identify line and rotational symmetry in 2D shapes, classify polygons by symmetry, and apply 3D planes of symmetry and circle chord properties for Cambridge IGCSE Mathematics.

What You'll Learn

  • 01Line symmetry in 2D shapes
  • 02Order of rotational symmetry
  • 03Symmetry of triangles and quadrilaterals
  • 04Symmetry of regular polygons
  • 05Planes and axes of 3D symmetry
  • 06Circle chord and tangent symmetry
Resources

Topical Past Papers

Practice questions from licensed topical past papers organised around this topic.

View Topical Past Papers →

Chapter Topics

4 official subtopics
19.1Line symmetry and rotational symmetry in two dimensions
19.2Symmetry properties of polygons, triangles and quadrilaterals
19.3Symmetry in three dimensions
Extended
19.4Symmetry and chord properties of circles
Extended

Your Learning Journey

Plan your chapter across focused 60-minute sessions.

4 Sessions4 Hours (240 min)
01
LEARN
60 MIN
19.1 Line symmetry and rotational symmetry in two dimensions
19.2 Symmetry properties of polygons, triangles and quadrilaterals
Session 1 of 4
02
LEARN
60 MIN
19.3 Symmetry in three dimensions
19.4 Symmetry and chord properties of circles
Session 2 of 4
03
PRACTICE
60 MIN
Chapter Practice
Session 3 of 4
04
EXAM
60 MIN
Past Paper Practice
Session 4 of 4
1-to-1 Mathematics Tuition · Cambridge IGCSE Mathematics

Master Chapter 19: Symmetry with Siddharth Agrawal

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