Class 6 Maths - WEST-BENGAL

Symmetry

The chapter 'Symmetry' in Class 6 West Bengal Board (WBBSE) mathematics introduces students to the beauty of balanced shapes in geometry. Learners explore line symmetry by identifying lines of symmetry in various 2D geometrical figures, English alphabets, and everyday objects. Students learn to fold paper and draw mirror lines to check if two halves of a shape match completely. This chapter builds spatial awareness and forms the foundation for advanced geometry in later classes. Scoring well in this chapter is easy with regular practice of drawing symmetry lines, which frequently appear as short and conceptual questions in school examinations.

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Key Concepts

Line of Symmetry

A line that divides a figure into two identical halves that fit exactly on top of each other when folded along the line.

Symmetrical Figures

Shapes or objects that can be folded or divided into identical matching parts are called symmetrical figures.

Asymmetrical Figures

Shapes that cannot be divided into two identical halves by any line are called asymmetrical figures.

Multiple Lines of Symmetry

Some special geometric shapes, like an equilateral triangle or a square, can have more than one line of symmetry.

Important Formulas

Number of lines of symmetry in an equilateral triangle = 3
Number of lines of symmetry in a square = 4
Number of lines of symmetry in a rectangle = 2
Number of lines of symmetry in a regular hexagon = 6
Number of lines of symmetry in a circle = Infinite

Board Exam Info

In the West Bengal Board (WBBSE) Class 6 Mathematics final examinations, the chapter 'Symmetry' generally carries about 3 to 5 marks. Common question types include drawing lines of symmetry for given shapes, stating the number of lines of symmetry for specific polygons or English letters, and identifying symmetrical objects from daily life.

Frequently Asked Questions

What is a line of symmetry?

It is an imaginary line that cuts a shape into two exact mirror-image halves.

Do all shapes have a line of symmetry?

No, some shapes like a scalene triangle are asymmetrical and do not have any line of symmetry.

How many lines of symmetry does a circle have?

A circle has an infinite number of lines of symmetry because any line passing through its center divides it into two identical halves.

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