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In Class 7 Maths Chapter 12, Symmetry, we will learn about the elements of symmetry. Symmetry can be found everywhere in nature from leaves to a butterfly’s wings, it is commonly exhibited in nature. This makes the study of symmetry important and is used in creative professional fields such as arts, car manufacturing, clothes and jewelry designing, and so on. We have been introduced to the concept of “Line of Symmetry” for determining symmetry in different shapes in Class 6. Now, we will learn about another element, i.e. rotational symmetry for determining the symmetry in instances where the line of symmetry alone cannot help in determining the symmetry. Let us now have a look at the NCERT Class 7 Maths Chapter 12 Symmetry Notes and Solutions (PDF available).
Table of Contents
Click here to download NCERT Class 7 Maths Chapter 12 – Symmetry Notes and Solutions PDF
NCERT Solutions Class 7 Maths Chapter 12 – PDF Available
Check the topic-wise notes for NCERT Solutions Maths Class 7 Chapter 12, Symmetry below. You can also download the PDF of the notes and take a printout to study later when you need quick revision before going to the e𝑥am hall.
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Topic 1: Regular Polygons
In Class 6, we have learned that any shape that is “regular” has all its sides and angles of equal measure. Similarly, a regular polygon has all sides of equal lengths and all angles of equal measure.
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Topic 2: Rotational Symmetry
To understand the concept of rotational symmetry, we must first understand what is the angle of rotation and centre of rotation.
- Centre of Rotation: When an object rotates, its shape and size do not change. The rotation turns an object about a fixed point. This fixed point is the centre of rotation.
- Angle of Rotation: The angle at which the object turns during rotation is called the angle of rotation. A full turn means a rotation of 360°.
- Rotational Symmetry: If, after rotating at a certain angle, an object looks exactly the same, we say that it has rotational symmetry.
Class 7 Maths Chapter 12, Symmetry Exercise Solutions – PDF Available!
Below we have provided solutions for NCERT Solutions Class 7 Maths Chapter 12, Symmetry. Go through for answers to some important questions.
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E𝑥ercise 12.1 Solutions
Q 1. Identify multiple lines of symmetry, if any, in each of the following figures:
Solutions. The different lines of symmetry in each case are given below.
- There are 3 lines of symmetry in this shape as shown below.
- There are only 2 lines of symmetry in teh given figure.
- There are only 2 lines of symmetry in teh given figure.
Q 2. State the number of lines of symmetry for the following figures:
- A circle
- A quadrilateral
- A regular hexagon
Solutions. The answers to each case are given below.
- A circle has infinite lines of symmetry.
- A quadrilateral has no line of symmetry.
- A regular hexagon has 6 lines of symmetry
E𝑥ercise 12.2 Solutions
Q 1. Determine whether the following figure has a rotational symmetry of order more than 1.
Solutions. To determine the order of rotational symmetry in the given figure, let us mark a fixed point at the circle and then rotate it.
Thus, the given figure has a rotational symmetry of order more than 1.
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FAQs
Ans: Symmetry can be defined as the uniformity in the shapes of certain figures.
Ans: A regular polygon has all sides of equal lengths and all angles of equal measure.
Ans: If, after rotating at a certain angle, an object looks exactly the same, we say that it has rotational symmetry.
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This was all about NCERT Solutions Class 7 Maths Chapter 12, Symmetry in which we studied the order, centre and angle of rotational symmetry. We also learned to determine more than 1 line of symmetry in specific shapes. Download the NCERT Solutions Class 7 Maths Chapter 12 Notes and Solutions PDF to ace your e𝑥am preparations. Follow the CBSE Class 7 Maths Solutions and Notes for more such chapter notes and important questions and answers for preparation for CBSE Class 7 Maths.