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Symmetry — Revision Notes

ICSE · Class 7 · Mathematics

Symmetry revision notes for ICSE Class 7 Mathematics: 4 topics in quick points. Part of the ICSE Class 7 Mathematics syllabus.

61 questions25 flashcards4 formulas & key relations5 concepts

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Key Topics to Revise

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1. Line of Symmetry

  • A figure is symmetric about a line if that line divides it into two identical parts.
  • On folding the figure about the line, the two parts exactly coincide.
  • The line is called a line of symmetry or an axis of symmetry.
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2. Reflection of Points

  • Reflection is like the image seen in a mirror.
  • For reflection in a line, the line acts like a mirror line.
  • The image point lies on the other side of the mirror line at the same distance.
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3. Rotation and Rotational Symmetry

  • Rotation means turning a figure about a fixed point.
  • The fixed point is called the centre of rotation.
  • Whatever the angle of rotation, the resulting figure and the given figure are always same in shape and size.
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4. Quick Symmetry Facts to Remember

  • Line segment → symmetrical about its perpendicular bisector.
  • Angle with equal arms → symmetrical about the bisector of the angle.
  • Scalene triangle → no line of symmetry.

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Full Notes

Key Concepts

A line of symmetry isA line segment is symmetrical aboutReflection means finding the mirror imageThe point (3Rotation means turning a figure about

Frequently Asked Questions

What are the important topics in Symmetry for ICSE Class 7 Mathematics?
Key topics in Symmetry include Line of Symmetry, Reflection of Points, Rotation and Rotational Symmetry, Quick Symmetry Facts to Remember. Study these first, then practise questions on each for Class 7 exams.
How should I revise Symmetry for Class 7 exams?
Learn the core ideas first, then work through the 61 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.

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All ICSE Class 7 Mathematics Revision Notes

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