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Symmetry

ICSE · Class 6 · Mathematics

Quick revision notes for Symmetry — ICSE Class 6 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

103 questions25 flashcards4 concepts

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Key Topics to Revise

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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.

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Full Notes

Key Concepts

A line of symmetry dividesWhen a figure has a lineTwo points are symmetric with respectUsing basic geometrical tools like

Frequently Asked Questions

What are the important topics in Symmetry for ICSE Class 6 Mathematics?
Symmetry covers several key topics that are frequently asked in ICSE Class 6 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Symmetry — ICSE Class 6 Mathematics?
Understand the core concepts first, then work through the 103 practice questions available for this chapter. Revise formulas and 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.

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