Class 5 Maths - WEST-BENGAL

Symmetrical Designs

In the 'Symmetrical Designs' chapter of Class 5 mathematics under WBBSE, students explore shapes that look identical on both sides when divided by a straight line. They learn to identify lines of symmetry in everyday objects, geometric shapes, and English alphabets. Students practice drawing lines of symmetry and completing symmetrical figures using grid paper. This chapter is very important for building spatial understanding, observation skills, and foundational geometry concepts. It frequently appears in board assessments through drawing and identification-based questions, making it essential for scoring well in geometry.

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Key Concepts

Symmetry

A shape has symmetry if it can be divided into two matching halves that look exactly alike like a mirror image.

Line of Symmetry

The straight line that divides a figure into two identical halves is called the line of symmetry or axis of symmetry.

One Line of Symmetry

Some shapes, like an isosceles triangle or the letter 'A', can be divided into identical halves in only one way.

Multiple Lines of Symmetry

Some shapes, like a square (4 lines) or a circle (infinite lines), can be divided into matching halves in more than one way.

Asymmetrical Designs

Figures that do not have any line of symmetry and cannot be divided into identical halves are called asymmetrical.

Important Formulas

A square has 4 lines of symmetry
A rectangle has 2 lines of symmetry
An equilateral triangle has 3 lines of symmetry
A circle has an infinite number of lines of symmetry

Board Exam Info

In the West Bengal Board (WBBSE) Class 5 mathematics examinations, this chapter typically carries around 4 to 6 marks. Common question types include drawing lines of symmetry for given figures, completing incomplete symmetrical shapes on a grid, and identifying whether given English alphabets or geometric objects are symmetrical.

Frequently Asked Questions

What is a line of symmetry?

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

Do all shapes have a line of symmetry?

No, some shapes like a scalene triangle or irregular shapes do not have any lines of symmetry and are called asymmetrical.

How many lines of symmetry does a rectangle have?

A rectangle has 2 lines of symmetry: one horizontal and one vertical.

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