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Symmetry: Class 6 Chapter 13 Maths Notes

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Symmetry: Class 6 Chapter 13 Maths Notes

CBSE Class 6 Maths Chapter 13 Symmetry Revision Notes – You must understand the importance of Revision notes for class 6 Maths if you want to score better marks in your final exam. The Maths chapter 13 Symmetry notes provided by SpeEdLabs are the best study materials for Class 6 Maths. It is beneficial for students to revise the important concepts from Chapter 13. Students always prefer revision notes as they make learning easy and convenient for them.

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Maths Class 6 Chapter 13- Symmetry Notes [Free PDF]

Symmetry

An object when cut or folded into two halves about a line or axis such that the proportions of both halves are completely balanced is called Symmetry.

In a simpler way, the two halves should be mirror images to each other and when one half is placed over another one gets completely superimposed. For example, the two halves of a human face, or a butterfly, an earthen pot, a glass etc.

Line or Axis of Symmetry

The line or axis through which the object is folded or divided is called the line or axis of symmetry. Generally, all the regular shapes are symmetrical about at least one axis and many irregular shapes can also be defined as symmetrical upon the proper selection of the axis.

One figure can have one or more lines of symmetry. The examples of shapes with their number of lines of symmetries have been tabulated below:

Number of Axes of Symmetry Example
No axis of symmetry Alphabet F, Scalene triangles
One axis of symmetry An isosceles triangle, alphabet A, a kite
Two axes of symmetry A rectangle, alphabet H
Three axes of symmetry An equilateral triangle
Four axes of symmetry A square
Five axes of symmetry A regular pentagon

 

Types of the Line of Symmetry

  • Vertical Line of Symmetry – When an object or shape is divided into two identical halves by a straight standing or vertical line, then it is called a vertical line of symmetry.
  • Horizontal Line of Symmetry – When an object or shape is divided into two identical halves by a sleeping straight or horizontal line, then it is called a horizontal line of symmetry.
  • Diagonal Line of Symmetry – When an object or shape is divided into two identical halves by a diagonal line, then it is called a diagonal line of symmetry.

Reflection and Symmetry

As stated earlier, one half of an object about its line of symmetry forms a mirror image of the other half. This is similar to the case of an actual plane mirror and the phenomenon associated with it. Reflection is the phenomenon through which mirror images are formed and it can be noticed that if an object it placed in front of a mirror, the reflection inside the mirror is purely identical such that all the lengths and angles are the same.

Although there is just one difference that can be found in reflection symmetry which we notice when we stand in front of a mirror is that the orientation changes and the left-right get reversed.

Application of Symmetry in Day-To-Day Life

Symmetry has a very wide range of applications and uses and is directly or indirectly present in every aspect of our life. Ranging from just a small nut to famous architectural beauties and monuments, symmetry is present. A very common example known is rangoli or the geometrical designs. Many parts or equipment of a machine are symmetrical in nature.

Symmetry: Overview

In Mathematics, the meaning of Symmetry states that one shape is exactly similar to the other shape when it is flipped, turned, or rotated. Symmetry is an important concept in geometry and the symmetry objects can be found all around us in nature, architecture, and art.

The definition of the symmetry states that symmetry is a balanced and proportion similarity that is found in two halves of the object i.e. one half of the object is the mirror image of the other half of the object. The imaginary line which is used to fold a figure to get the symmetrical halves is known as the line of symmetry.

Types of Symmetry

  • Reflective Symmetry – Reflection is a type of symmetry that is related to reflections. It is also known as line symmetry or mirror symmetry. The definition of reflective symmetry states that there exists a minimum one line that divides the figure into two halves such that one half of the object is the mirror image of the other half of the object.
  • Rotational Symmetry – The rotational symmetry states that whenever an object is rotated on its axis, the shape of the object looks the same. Many geometrical figures such as square, circle, regular hexagon, etc. have rotational symmetry.

Revision Notes of Symmetry- CBSE Class 6 Maths

SpeEdLabs offers the best Revision notes of Symmetry for Class 6 that include all the most important concepts and topics. Students in Class 6 are advised to study these revision notes thoroughly as these notes will not only help them to pass their class 6 exams, but also prepare them for other competitive exams. According to the latest CBSE syllabus and academic materials, SpeEdLabs’s Symmetry Class 6 notes are written by subject experts. You can access it both online and offline for free.

The revision notes are an essential part of CBSE Class 6 study material because they make learning simple and convenient for students. The notes are written in an easy language that makes revising the entire chapter quick and easy. You will be able to answer every question related to a chapter after studying these notes of Symmetry offered by SpeEdLabs. Maths class 6 Chapter 13 revision Notes can be downloaded in PDF format for students to revise all the concepts that were studied before the final exam.

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