NCERT Class 6 Mathematics Ganita Prakash: Chapter 9 — Symmetry
This chapter introduces the concept of symmetry in mathematics, using examples from nature and architecture like flowers, butterflies, pinwheels, rangoli, and the Taj Mahal. It explains that symmetry refers to parts of a figure that are repeated in a definite pattern, making the figure appear beautiful and balanced. The chapter contrasts symmetrical figures with non-symmetrical ones, like clouds, highlighting the repetitive patterns found in symmetrical designs. Students will learn to identify and appreciate symmetry in various objects and structures, laying the foundation for understanding geometric properties and patterns in mathematics.
Quick info
| Board | CBSE / NCERT |
|---|---|
| Class | Class 6 |
| Subject | Mathematics |
| Book | Ganita Prakash |
| Chapter | Chapter 9 — Symmetry |
| Language | English |
| PDF type | NCERT Textbook |
| Session | CBSE 2026 |
| Reading time | 2 minutes |
| Word count | 287 |
Learning outcomes
- Define symmetry and identify symmetrical figures.
- Recognize repetitive patterns in symmetrical objects.
- Differentiate between symmetrical and non-symmetrical figures.
- Appreciate the role of symmetry in nature and architecture.
Vocabulary
| Word | Meaning |
|---|---|
| Symmetry | A property of a figure where parts are repeated in a definite pattern. |
| Pattern | A regular and intelligible arrangement of objects or elements. |
| Repetition | The action of repeating something. |
| Figure | A shape or design. |
| Rotate | To turn around a central point. |
The complete chapter text is read in the official NCERT PDF viewer below (streamed from ncert.nic.in). This page provides NCERT Help study material — summary, vocabulary, practice questions, and FAQs — not a full reproduction of the textbook.
Read chapter online
This PDF is loaded from the official NCERT website (ncert.nic.in). Use the page buttons below to read — download is disabled on NCERT Help.
Read page by page below. PDF is streamed from the official NCERT website — no download button on this page.
Practice questions
- Give two examples of symmetrical objects from your surroundings. Answer: A butterfly, a leaf, a book (when closed).
- Is a cloud generally considered symmetrical? Why or why not? Answer: No, clouds are generally not symmetrical because they lack a definite repetitive pattern.
- What does it mean for a figure to be symmetrical? Answer: A figure is symmetrical if it has parts that are repeated in a definite pattern.
Frequently asked questions
What is symmetry in mathematics?
Symmetry in mathematics refers to a property where parts of a figure are repeated in a definite pattern, making it balanced and visually appealing.
Can you give examples of symmetrical objects?
Yes, examples include flowers, butterflies, some leaves, and architectural designs like the Taj Mahal Gopuram.
What is a non-symmetrical object?
A non-symmetrical object is one that does not have parts repeated in a definite pattern, such as clouds.
What is the role of patterns in symmetry?
Patterns, specifically repetitive ones, are key to identifying symmetry in a figure.
Where can we observe symmetry?
Symmetry can be observed in nature (flowers, animals), architecture (buildings, designs), and everyday objects.
Related resources
Important topics
Topics covered
NCERT Class 6 Mathematics — Ganita Prakash — Chapter 9 — Symmetry. Verified by NCERT Help Editorial Team. Reviewed on 29 Jul 2026. Last updated 10 Aug 2026.