---
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id: "69bd240e5fbc9e395ac6010b"
title: "Symmetry"
board: "CBSE"
curriculum: "CBSE"
class: "Class 6"
subject: "Mathematics"
book: "Ganita Prakash"
chapter: "Symmetry"
chapter_slug: "symmetry"
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---

# Symmetry
Symmetry is observed around us in various objects such as butterflies, flowers, and rangoli patterns. Figures can exhibit symmetry when certain parts are repeated in a specific pattern, contrasting with asymmetrical figures like clouds that show no repetition. Understanding symmetry involves exploring how these patterns manifest in shapes and forms.

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## Knowledge Snapshot

| Field | Details |
| :--- | :--- |
| Class | Class 6 |
| Subject | Mathematics |
| Book | Ganita Prakash |
| Chapter | Symmetry |
| Pages | 217-241 |

---

## Chapter Summary

### Short Summary
This chapter addresses the concept of symmetry, which includes lines of symmetry, reflection symmetry, and rotational symmetry, with practical illustrations and activities for identifying and generating symmetrical shapes.

### Detailed Summary
The chapter begins by introducing the idea of symmetry through various examples. It defines symmetry as the repetition of parts of a figure in certain patterns. The concept of a line of symmetry is explained, including how figures like squares have multiple lines of symmetry. Reflection symmetry is also discussed, showcasing how figures are reflected along these lines. Techniques for generating symmetrical shapes through methods such as folding paper or ink blotting are provided. The chapter concludes with an exploration of rotational symmetry and the angles associated with it, emphasizing its application in different figures, including circles.

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## Topic-Wise Explanation

### Line of Symmetry
A line that divides a figure into two identical mirror-image halves is a line of symmetry. Some figures can have more than one line of symmetry, such as squares and rectangles.

### Rotational Symmetry
A figure exhibits rotational symmetry if it looks the same when rotated about a center point. For example, a windmill has a center of rotation and multiple angles of symmetry based on its design.

### Generating Symmetrical Shapes
Symmetrical figures can be created through various activities like folding paper, cutting, and using ink blots, which help visualize and understand symmetry practically.

### Examples of Symmetrical Figures
Symmetrical figures include shapes with identifiable lines of symmetry, like squares, flowers, and certain designs, demonstrating symmetry through visual balance.

### Reflection Symmetry
A figure is said to possess reflection symmetry when one side is a mirror image of the other across a line of symmetry.

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## Core Ideas

| Idea | Explanation |
| :--- | :--- |
| Symmetrical Figure | A figure with parts that repeat in a definite pattern. |
| Line of Symmetry | A line dividing a figure into mirror-image halves. |
| Rotational Symmetry | Symmetry observed when a figure looks the same after a certain angle of rotation. |

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## Important Points for Revision

* Symmetry involves patterns and repetition in shapes.
* A line of symmetry results in mirror-image halves.
* A figure can have multiple lines of symmetry.
* Reflection symmetry occurs across a line that creates identical halves.
* Rotational symmetry is determined by angles at which a figure can be rotated to appear unchanged.
* Figures such as circles have infinite lines of symmetry and rotational symmetry.
* Symmetrical shapes can be generated through creative activities like folding and cutting.
* Understanding symmetry enhances design and aesthetic appreciation in art and nature.

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## Practice Questions

### Short Answer Questions
1. What is symmetry?
2. Define a line of symmetry.
3. Give an example of a figure with rotational symmetry.
4. How can you generate a symmetrical shape?
5. What is reflection symmetry?

### Long Answer Questions
1. Describe the process of finding lines of symmetry in various figures.
2. Explain the concept of rotational symmetry with examples and angles of symmetry.
3. Discuss the significance of symmetry in nature and design with illustrative examples.

---

## Related Concepts

* Reflection symmetry
* Rotational symmetry
* Lines of symmetry

---

## Source Attribution

| Field | Value |
| :--- | :--- |
| Source | Edzy |
| Reference Type | examSubjectBookChapter |
| Reference ID | 69bd240e5fbc9e395ac6010b |
| Canonical URL | https://www.edzy.ai/cbse-class-6-mathematics-ganita-prakash-symmetry |
| Markdown URL | https://www.edzy.ai/okf/chapter/cbse-class-6-mathematics-ganita-prakash-symmetry.md |