# CBSE Class 6 Maths Revision Notes Chapter 13

## CBSE Class 6 Mathematics Chapter 13 Revision Notes – Symmetry

Extramarks’ CBSE Class 6 Mathematics Chapter 13 Revision Notes can be referred to enhance  your preparation and score better marks in exams. Extramarks provides quality study materials for Class 6 Mathematics. Revision notes summarise the main concepts learned in this chapter and are ideal for revising   your chapter quickly. Class 6 Mathematics Chapter 13 Revision Notes are comprehensive and simple to understand.

Students can refer to Class 6 Mathematics Chapter 13 Revision Notes for an in-depth understanding of the concepts. Extramarks is a platform where all study materials are available for students. These revision notes are written by subject matter experts as per the revised CBSE Syllabus. Students can access these Class 6 Mathematics Chapter 13 Revision Notes to facilitate effective revision of the entire syllabus without missing out on a single topic.

Extramarks is a platform where all study materials are available for students. These notes are well-structured and present the content point-wise  for students to remember the key concepts from each topic which are presented in a systematic and organised manner.

### Definition of Symmetry

When an item is cut or folded into two halves over a line or axis such that the sections of both halves are completely  equal, it is known as symmetry. Basically, both halves should be like mirror images of one another. One half completely overlaps the other as it is placed over the other. For instance, a notebook  has two halves, as well as an earthen pot, a butterfly, a glass, etc.

### Line or Axis of Symmetry

The line or axis of symmetry is the line or axis by which the object is folded or split. Normally, several irregular shapes can also be considered symmetrical depending on the proper selection of the axis, whereas all the regular shapes are considered to be symmetrical on at least one axis.

One or more lines of symmetry for one figure are normal. Different shapes along with a number of lines of symmetries are mentioned in the tabulated form below.

 Number of Axes of Symmetry Example 0 The alphabet ‘F’, a scalene triangle 1 The alphabet ‘A’, an isosceles triangle, a kite 2 The alphabet ‘H’, a rectangle 3 An equilateral triangle 4 A square 5 A regular pentagon

The Three Different Types of the Line of Symmetry

• Vertical Line of Symmetry – A straight standing or vertical line that splits an item or shape into two similar looking halves is called the vertical line of symmetry.
• Horizontal Line of Symmetry – A sleeping straight or horizontal line that splits an item or shape into two similar halves is called the horizontal line of symmetry.
• Diagonal Line of Symmetry – A diagonal line that splits a shape or object into two identical halves is called the diagonal line of symmetry.

Reflection and Symmetry

As mentioned earlier , the line of symmetry creates a mirror image of the other half as the first half of an object. Similarly, it is in actual plane mirrors and the phenomenon connected with it. The phenomenon by which mirror images are created is called reflection. It is noticeable that the reflection in the mirror is similar including the lengths and angles when an object is positioned in front of a mirror.

There is only one difference that can be discovered in reflection symmetry which is noticeable if we stand in front of a mirror.  That is the left-right gets interchanged.

Application of Symmetry in Day-To-Day Life

There are various applications and uses of symmetry in every part of our life. Symmetry is used by architects for building well-known architectural attractions and monuments. A prominent example we know is rangoli made outside our house during festivals or the geometrical designs. Several parts or equipment of a machine are symmetrical.

Class 6 Mathematics Notes of Symmetry

Class 6 Mathematics Chapter 13 Notes made by Extramarks aims at helping students to go through each and every essential concept connected with symmetry in detail. It is advantageous to understand the essential concepts of symmetry since  similar concepts will be used in higher  classes. To be thorough with the concepts of symmetry, it is necessary to study the Class 6 Mathematics Chapter 13 Notes.

Class 6 Mathematics Chapter 13 notes are assembled and compiled by the subject matter experts of Extramarks. Symmetry Class 6 notes have been put together by Extramarks’ subject experts as per the recent CBSE syllabus. Referring through Class 6 Mathematics Chapter 13 Notes helps you find solutions to the questions related to symmetry in the exam.

Class 6 Mathematics Chapter 13 – Symmetry – Notes

Extramarks provides reliable Class 6 Mathematics Chapter 13 Revision Notes that contain all of the necessary concepts and explanations of symmetry. Students are recommended to refer to these revision notes as these notes will help them prepare for class tests, internal assessments, and other competitive exams. These revision notes are easily available on the Extramarks’ website.

In Mathematics, Symmetry defines that one shape is absolutely equal to the other shape when it is turned, flipped, or rotated. Symmetry is a crucial concept in geometry. In our surroundings, we can easily find the symmetry of objects, especially in architecture, nature, and art.

The definition of symmetry implies that symmetry is a proportional similarity that is commonly found in two halves of an object, i.e., one half of the object looks exactly like the other half of the object. The line of symmetry is the imaginary line that divides a figure to attain identical halves.

Line of Symmetry

The line of symmetry is an imaginary line or axis which divides a given figure into two symmetrical halves. This line splits an object into two equal halves. There are horizontal, vertical, and diagonal lines of symmetry.

Types of Symmetry

• Reflective Symmetry – A type of symmetry that is connected to reflections is reflective symmetry. It is also referred to as line symmetry or mirror symmetry. Reflective symmetry is defined by the presence of at least one line that divides an object into two halves, with one half of the object being the mirror image of the other half of the object.
• Rotational Symmetry – Rotational symmetry shows that the shape of the object looks similar when an object revolves on its axis. Several geometrical figures have rotational symmetry such as squares, regular hexagons, circles, etc.

Benefits of Class 6 Mathematics Chapter 13 Revision Notes

The advantages of the Class 6 Mathematics Chapter 13 Revision Notes are as follows.

• These notes cover the concepts of symmetry in simple and lucid language for easy understanding.
• It aids in saving valuable time at the time of the examination as these revision notes effectively summarise the important concepts of the chapter.
• Class 6 Mathematics Chapter 13 Notes are precise as they are prepared by subject matter experts.
• These notes are updated as per the revised CBSE Syllabus and guidelines.
• Class 6 Mathematics Chapter 13 Revision Notes are available on the website and can be easily accessed anytime.
• Students can boost their preparations with these quality revision notes and write  their exams confidently.
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### 1. Are there any real-time applications for “Symmetry”?

There are many applications for symmetry in real life. A variety of objects in our surroundings are symmetrical. People who are into graphic designing, sketching, architecture, or drawing use symmetry in almost all  their projects. For example, the theory of symmetry is used to draw the pattern of a rangoli and  to determine the measurements of the train tracks. Similarly, symmetry can be used in various other scientific fields.

### 2. Write a note on line symmetry.

A figure is considered to contain a line symmetry when a line is drawn on a certain figure to divide it into equivalent parts. A line of symmetry is the axis or imaginary line which can split any figure into two similar halves. For instance, when a piece of A4 size paper is folded into half, then the sheet can be simply split into two, and therefore it is considered to have line symmetry. The line of symmetry is the line that appears on the crease formed by folding the paper.

### 3. What is symmetry? What are the types of lines of symmetry?

When an object is divided or folded on an axis into two halves in such a proportion that both halves are completely  equal, it is referred to as symmetry. In an easier way, the two halves should be equivalent to each other. Both halves should overlap when placed over one another.

The different types of lines of symmetry are as follows.

• Vertical Line of Symmetry – A straight standing or a vertical line is used to divide an object or shape into similar looking two halves then it is considered to be a vertical line of symmetry.
• Horizontal Line of Symmetry – A sleeping straight or horizontal line is used to divide an object or shape into two alike-looking halves, then it is considered to be a horizontal line of symmetry.
• Diagonal Line of Symmetry – A diagonal line is used when an object or shape is divided into two similar-looking halves, then it is considered to be a diagonal line of symmetry.