Class 5 Maths - ODISHA

Symmetrical Designs

In the chapter 'Symmetrical Designs' of Class 5 Mathematics for Odisha BSE, students explore the wonderful world of symmetry and shapes that look identical when folded or divided. This chapter teaches children how to identify lines of symmetry in familiar objects like leaves, flowers, geometrical shapes, and English alphabets. Understanding symmetry helps students appreciate patterns in nature, art, and architecture. For board exams, this chapter is crucial as it tests observation and drawing skills through multiple-choice questions, fill-in-the-blanks, and practical drawing tasks where students must complete symmetrical figures using a given line of symmetry.

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Key Concepts

Line of Symmetry

A straight line that divides a figure into two identical halves that completely match when folded over the line.

Symmetrical Figures

Shapes or figures that can be folded along a line so that both halves fit on top of each other perfectly.

Asymmetrical Figures

Shapes that cannot be divided into two matching halves by any line; they do not have symmetry.

Multiple Lines of Symmetry

Some special shapes, like a square or a circle, can have more than one line of symmetry passing through them.

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 Odisha BSE Class 5 Mathematics examination, this chapter usually carries around 4 to 6 marks. Common question types include identifying whether a given figure is symmetrical, drawing the line of symmetry for specific shapes, and completing the other half of a symmetrical design on a grid.

Frequently Asked Questions

What is a line of symmetry?

It is a 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 or a random scribble are asymmetrical and do not have any line of symmetry.

How many lines of symmetry does a rectangle have?

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

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