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Concept of Symmetry

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Topics

Estimated time: 12 minutes
  • Introduction
  • Definition: Symmetry
  • Definition: Line of Symmetry
  • Activity 1
  • Activity 2
  • Key Points Summary
CISCE: Class 6

Introduction

Look around you. Your face is nearly identical on both sides. A butterfly's wings match perfectly. The Taj Mahal looks the same from the left and right. These are all examples of symmetry – one of nature's most beautiful patterns.

Symmetry isn't just about appearance. It helps us:

  • Design buildings and bridges that look balanced and stand strong

  • Create art and patterns that please our eyes

  • Understand nature – from tiny snowflakes to giant trees

  • Solve geometry problems more easily

CISCE: Class 6

Definition: Symmetry

Symmetry means that one half of an object is an exact mirror image of the other half. If you could fold the object and both halves match perfectly, then it has symmetry.

  • Mirror line mm′ = Line of Symmetry

  • Object (F) and its image (F′) are equal distances from the line

  • When folded along this line, both parts match exactly

CISCE: Class 6

Definition: Line of Symmetry

line of symmetry is an imaginary line that divides a shape into two identical halves. Each half is the mirror image of the other.

Some shapes, like a square, have more than one line of symmetry.

Maharashtra State Board: Class 6

Activity 1

Colour Blob Fold:
Steps:

  1. Take a sheet of paper and fold it in half, then unfold it.
  2. Put a blob of paint or colour on one side of the fold.
  3. Fold the paper again and press gently.
  4. Unfold the paper and look at the shape formed.

Observation:

  • The paint spreads to the other side of the fold.
  • The shape on both sides of the fold looks exactly the same.
  • Both sides appear like mirror images.

Conclusion:

  • The shape formed is symmetrical.
  • The folded line acts as a symmetry line.
  • This activity shows how symmetry creates balance and equality in shape.
Maharashtra State Board: Class 6

Activity 2

Thread Painting:
Steps:

  1. Take a sheet of paper and a thread dipped in colour.
  2. Place the coloured threads on one side of the paper.
  3. Fold the paper over the thread.
  4. Press the folded paper gently and then pull the thread out from one end.
  5. Unfold the paper and observe the pattern formed.

Observation:

  • A colourful, creative shape appears on the paper.
  • The design on both sides of the fold looks similar.
  • The two halves are mirror images of each other.

Conclusion:

  • The pattern formed is symmetrical.
  • The fold line acts as a symmetry line.
  • This activity demonstrates how symmetry can be created through movement and colour.
CISCE: Class 6

Key Points Summary

Concept Definition Example
Symmetry When an object can be divided into two identical mirror halves. Butterfly wings
Line of Symmetry The imaginary line that divides a shape into mirror images. Vertical line through a heart

Test Yourself

Video Tutorials

We have provided more than 1 series of video tutorials for some topics to help you get a better understanding of the topic.

Series 1


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