Mathematics Class 5 - Symmetry Notes

Symmetry

Welcome to the chapter on Symmetry for Class 5. In this chapter, you will learn what symmetry means, how to find lines of symmetry in shapes, and how symmetry is used in art, nature, and everyday life. By the end of this chapter, you will be able to identify and draw symmetrical shapes and patterns!

Introduction

Symmetry means that one side of a shape or object is the same as the other side. If you fold a shape along a line and both sides match exactly, the shape is symmetrical. The line you fold along is called the line of symmetry.

Types of Symmetry

• Line Symmetry: When a shape can be folded along a line so that both halves are the same.
• Rotational Symmetry: When a shape looks the same after being turned around a point.

Line of Symmetry

The line of symmetry divides a shape into two equal parts. Some shapes have one line of symmetry, some have more, and some have none.

• A square has 4 lines of symmetry.
• A rectangle has 2 lines of symmetry.
• A circle has many lines of symmetry.
• Some shapes, like a scalene triangle, have no line of symmetry.

Symmetry in Nature and Art

• Butterflies have symmetrical wings.
• Leaves, flowers, and snowflakes show symmetry.
• Many designs and patterns in art use symmetry.

Fun Activity: Find Symmetry!

Fold a paper in half and cut out a shape. Open it to see if both sides are the same. Try this with different shapes!

Summary

• Symmetry means both sides are the same.
• Line of symmetry divides a shape into equal parts.
• Symmetry is found in shapes, nature, and art.

Practice Questions

1. How many lines of symmetry does a square have?
2. Name a shape with no line of symmetry.
3. Draw a butterfly and mark its line of symmetry.
4. What is rotational symmetry?
5. Give an example of symmetry in nature.

Challenge Yourself

• Find three objects at home that have symmetry.
• Draw a pattern with symmetry and color it.

Did You Know?

• Snowflakes have six lines of symmetry!
• Human faces are almost symmetrical.

Glossary

• Symmetry: When both sides of a shape are the same.
• Line of Symmetry: The line that divides a shape into two equal parts.
• Rotational Symmetry: When a shape looks the same after turning.

Answers to Practice Questions

1. 4
2. Scalene triangle
3. (Draw a butterfly and mark a vertical line down the middle)
4. When a shape looks the same after being turned around a point.
5. Butterfly wings, leaves, snowflakes, etc.

---

Look for symmetry around you and create your own symmetrical designs!