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Syllabus

Symmetry — Syllabus

ICSE · Class 6 · Mathematics

What Symmetry covers in ICSE Class 6 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 6 Mathematics syllabus.

103 questions25 flashcards4 concepts

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4 Topics · ICSE Class 6 Mathematics · 2026-27

Topics in Symmetry

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1. Concept of Symmetry

  • A figure has symmetry if it can be divided into two identical halves by a line.
  • The line that divides the figure into two mirror-image halves is called the **line of symmetry** or **axis of symmetry**.
  • When a figure is folded along its line of symmetry, both halves match exactly.
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2. Lines of Symmetry in 2D Shapes

  • Different shapes have different numbers of lines of symmetry.
  • A line segment has 1 line of symmetry — its perpendicular bisector.
  • An angle with equal arms has 1 line of symmetry — its angle bisector.
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3. Symmetry in Letters and Alphabets

  • Some English letters have vertical symmetry, some have horizontal, and some have both.
  • Letters like A, M, T, U, V, W, Y have vertical symmetry.
  • Letters like B, C, D, E have horizontal symmetry.
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4. Constructing Symmetric Points and Lines

  • To find a point symmetric to a given point across a line, draw a perpendicular from the point to the line and extend it equally on the other side.
  • The line of symmetry is the perpendicular bisector of the segment joining a point and its image.
  • To construct the line of symmetry between two symmetric points, draw the perpendicular bisector of the segment joining them.

Key Concepts

Central concept: Symmetry

Line of SymmetryReflection SymmetrySymmetrical FiguresNumber of Lines of SymmetrySymmetric PointConstruction of Line of Symmetry

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Frequently Asked Questions

What are the important topics in Symmetry for ICSE Class 6 Mathematics?
Key topics in Symmetry include Concept of Symmetry, Lines of Symmetry in 2D Shapes, Symmetry in Letters and Alphabets, Constructing Symmetric Points and Lines. Study these first, then practise questions on each for Class 6 exams.
How should I revise Symmetry for Class 6 exams?
Learn the core ideas first, then work through the 103 practice questions on Symmetry. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Symmetry

All ICSE Class 6 Mathematics Syllabus

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