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NCERT Solutions

Class 7

Maths

Chapter 12 Symmetry Exercise 12.2

NCERT Solutions For Class 7 Maths Chapter 12 Symmetry Exercise 12.2 - 2025-26

Q: 1. How can I correctly solve the questions in NCERT Class 7 Maths Chapter 12, Exercise 12.1?

The NCERT solutions for Exercise 12.1 focus on identifying lines of symmetry. The correct method involves looking for a line through a figure along which it can be folded so that its two halves coincide perfectly. For each problem, you should systematically check for vertical, horizontal, and diagonal lines that act as a mirror for the shape.

Q: 6. How do I determine the centre of rotation and the angle of rotation for a shape as per the NCERT methodology?

To find the centre of rotation, you must identify the point that remains fixed as the figure turns. For regular shapes like squares or equilateral triangles, this is the point where the lines of symmetry intersect. To find the angle of rotation, you can divide 360° by the order of rotational symmetry. For example, a square has an order of 4, so its angle of rotation is 360°/4 = 90°.

Q: 9. How does the number of lines of symmetry relate to the order of rotational symmetry for regular polygons?

For any regular polygon, there is a direct relationship: the number of lines of symmetry is always equal to its order of rotational symmetry. For example:An equilateral triangle has 3 lines of symmetry and an order of rotation of 3.A square has 4 lines of symmetry and an order of rotation of 4.This rule is a key concept for solving problems in Chapter 12.

NCERT Solutions For Class 7 Maths Chapter 12 Symmetry Exercise 12.2 - 2025-26

Free PDF download of NCERT Solutions for Class 7 Maths Chapter 12 Exercise 12.2 (EX 12.2) and all chapter exercises at one place prepared by expert teacher as per NCERT (CBSE) books guidelines. Class 7 Maths Chapter 12 Symmetry Exercise 12.2 Questions with Solutions to help you to revise complete Syllabus and Score More marks. Register and get all exercise solutions in your emails.

Class:	NCERT Solutions for Class 7
Subject:	Class 7 Maths
Chapter Name:	Chapter 12 - Symmetry
Exercise:	Exercise - 12.2
Content-Type:	Text, Videos, Images and PDF Format
Academic Year:	2024-25
Medium:	English and Hindi
Available Materials:	Chapter Wise Exercise Wise
Other Materials	Important Questions Revision Notes

Access NCERT Solutions for Class 7 Chapter 12 – Symmetry Exercise 12.2

Exercise 12.2

1. Which of the following figures have rotational symmetry of order more than 1?

(i). (image will be uploaded soon)

Ans: Rotational symmetry or radial symmetry is the symmetry which is caused when an object if rotated about its own axis, gives back the same figure.

Order of rotational symmetry is the number of times a figure can be rotated $360^\circ $ to produce the similar figures.

The given figure can be rotated four times at $90^\circ $ angles each to produce the symmetrical figures.

Therefore, the order of rotational symmetry for the above figure is four.

So, the above figure has rotational symmetry of more than one.

(ii). (image will be uploaded soon)

Ans: The given figure can be rotated three times at $120^\circ $ angles each to produce the symmetrical figures.

Therefore, the order of rotational symmetry for the above figure is three.

So, the above figure has a rotational symmetry of more than one.

(iii). (image will be uploaded soon)

Ans: The given figure has to be rotated $360^\circ $produce the symmetrical figure.

Therefore, the order of rotational symmetry for the above figure is one.

So, the above figure does not have a rotational symmetry of more than one.

(iv). (image will be uploaded soon)

Ans: The given figure can be rotated two times at $180^\circ $ angles each to produce the symmetrical figures.

Therefore, the order of rotational symmetry for the above figure is two.

So, the above figure has a rotational symmetry of more than one.

(v). (image will be uploaded soon)

Ans: The given figure can be rotated three times at $120^\circ $ angles each to produce the symmetrical figures.

Therefore, the order of rotational symmetry for the above figure is three.

So, the above figure has a rotational symmetry of more than one.

(vi). (image will be uploaded soon)

Ans: The given figure can be rotated four times at $90^\circ $ angles each to produce the symmetrical figures.

Therefore, the order of rotational symmetry for the above figure is four.

So, the above figure has a rotational symmetry of more than one.

2. Give the order of the rotational symmetry for each figure.

(i). (image will be uploaded soon)

Ans: Order of rotational symmetry is the number of times a figure can be rotated $360^\circ $ to produce the similar figures.

To find the order of the rotational symmetry, we will fix a point in the given figure and then rotate the figure and check the order of symmetry.

Let the fixed point on the figure be $A$.

(image will be uploaded soon)

The given figure can be rotated two times at $180^\circ $ angles each to produce the symmetrical figures.

Therefore, the order of rotational symmetry for the above figure is 2.

(ii). (image will be uploaded soon)

Ans: To find the order of the rotational symmetry, we will fix a point in the given figure and then rotate the figure and check the order of symmetry.

Let the fixed point on the figure be $T$.

(image will be uploaded soon)

The given figure can be rotated two times at $180^\circ $ angles each to produce the symmetrical figures.

Therefore, the order of rotational symmetry for the above figure is 2.

(iii). (image will be uploaded soon)

Ans: To find the order of the rotational symmetry, we will fix a point in the given figure and then rotate the figure and check the order of symmetry.

Let the fixed point on the figure be $A$.

(image will be uploaded soon)

The given figure can be rotated three times at $120^\circ $ angles each to produce the symmetrical figures.

Therefore, the order of rotational symmetry for the above figure is 3.

(iv). (image will be uploaded soon)

Ans:To find the order of the rotational symmetry, we will fix a point in the given figure and then rotate the figure and check the order of symmetry.

Let the fixed point on the figure be $A$.

(image will be uploaded soon)

The given figure can be rotated four times at $90^\circ $ angles each to produce the symmetrical figures.

Therefore, the order of rotational symmetry for the above figure is 4.

(v). (image will be uploaded soon)

Ans: To find the order of the rotational symmetry, we will fix a point in the given figure and then rotate the figure and check the order of symmetry.

Let the fixed point on the figure be $A$.

(image will be uploaded soon)

The given figure can be rotated four times at $90^\circ $ angles each to produce the symmetrical figures.

Therefore, the order of rotational symmetry for the above figure is 4.

(vi). (image will be uploaded soon)

Ans: To find the order of the rotational symmetry, we will fix a point in the given figure and then rotate the figure and check the order of symmetry.

Let the fixed point on the figure be $A$.

(image will be uploaded soon)

The given figure can be rotated five times at $72^\circ $ angles each to produce the symmetrical figures.

Therefore, the order of rotational symmetry for the above figure is 5.

(vii). (image will be uploaded soon)

Ans: To find the order of the rotational symmetry, we will fix a point in the given figure and then rotate the figure and check the order of symmetry.

Let the fixed point on the figure be $A$.

(image will be uploaded soon)

The given figure can be rotated six times at $60^\circ $ angles each to produce the symmetrical figures.

Therefore, the order of rotational symmetry for the above figure is 6.

(viii). (image will be uploaded soon)

Ans: To find the order of the rotational symmetry, we will fix a point in the given figure and then rotate the figure and check the order of symmetry.

Let the fixed point on the figure be $A$.

(image will be uploaded soon)

The given figure can be rotated three times at $120^\circ $ angles each to produce the symmetrical figures.

Therefore, the order of rotational symmetry for the above figure is 3.

NCERT Solutions for Class 7 Maths Chapter 12 Symmetry Exercise 12.2

Opting for the NCERT solutions for Ex 12.2 Class 7 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 12.2 Class 7 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.

Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 7 students who are thorough with all the concepts from the Subject Symmetry textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 7 Maths Chapter 12 Exercise 12.2 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.

Besides these NCERT solutions for Class 7 Maths Chapter 12 Exercise 12.2, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it.

Do not delay any more. Download the NCERT solutions for Class 7 Maths Chapter 12 Exercise 12.2 from Vedantu website now for better exam preparation. If you have the Vedantu app in your phone, you can download the same through the app as well. The best part of these solutions is these can be accessed both online and offline as well.

Class 7 Maths Chapter 12: Exercises Breakdown

Exercises	Number of Questions
Exercise 12.1	10 Questions & Solutions
Exercise 12.3	7 Questions & Solutions

CBSE Class 7 Maths Chapter 12 Other Study Materials

S. No	Important Links for Chapter 12 Symmetry
1	Class 7 Symmetry Important Questions
2	Class 7 Symmetry Revision Notes
3	Class 7 Symmetry Important Formulas
4	Class 7 Symmetry NCERT Exemplar Solution
5.	Class 7 Symmetry RD Sharma Solutions

Chapter-Specific NCERT Solutions for Class 7 Maths

Given below are the chapter-wise NCERT Solutions for Class 7 Maths. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.

S.No.	NCERT Solutions Class 7 Chapter-wise Maths PDF
1.	Chapter 1 - Integers Solutions
2.	Chapter 2 - Fractions and Decimals Solutions
3.	Chapter 3 - Data Handling Solutions
4.	Chapter 4 - Simple Equations Solutions
5.	Chapter 5 - Lines and Angles Solutions
6.	Chapter 6 - The Triangle and Its Properties Solutions
7.	Chapter 7 - Comparing Quantities Solutions
8.	Chapter 8 - Rational Numbers Solutions
9.	Chapter 9 - Perimeter and Area Solutions
10.	Chapter 10 - Algebraic Expressions Solutions
11.	Chapter 11 - Exponents and Powers Solutions
12.	Chapter 12 - Symmetry Solutions
13.	Chapter 13 - Visualising Solid Shapes Solutions

Important Related Links for NCERT Class 7 Maths

Access these essential links for NCERT Class 7 Maths, offering comprehensive solutions, study guides, and additional resources to help students master language concepts and excel in their exams.

S.No	Other CBSE Study Materials for Class 7 Maths
1	CBSE Class 7 Maths Revision Notes
2	CBSE Syllabus for Class 7 Maths
3	CBSE Class 7 Maths Important Questions
4	CBSE Class 7 Maths Sample Papers
5	NCERT Books for Class 7 Maths
6.	RS Aggarwal Class 7 Solutions for Math book
7.	RD Sharma Class 7 Maths Solutions
8.	NCERT Class 7 Maths Exemplar Solutions
9.	NCERT Class 7 Maths Formulas

FAQs on NCERT Solutions For Class 7 Maths Chapter 12 Symmetry Exercise 12.2 - 2025-26

1. How can I correctly solve the questions in NCERT Class 7 Maths Chapter 12, Exercise 12.1?

The NCERT solutions for Exercise 12.1 focus on identifying lines of symmetry. The correct method involves looking for a line through a figure along which it can be folded so that its two halves coincide perfectly. For each problem, you should systematically check for vertical, horizontal, and diagonal lines that act as a mirror for the shape.

2. What is the step-by-step method for solving problems on rotational symmetry in Exercise 12.2?

To solve questions in Exercise 12.2, you need to find the order of rotational symmetry. The steps are:

Identify the centre of rotation, which is the fixed point the shape turns around.
Rotate the shape mentally or on paper through a full 360° turn.
Count how many times the shape looks exactly like its starting position. This count is the order of rotational symmetry.

3. What types of problems are found in the NCERT solutions for Class 7 Maths Chapter 12, Exercise 12.3?

The NCERT solutions for Exercise 12.3 require you to apply your knowledge of both line and rotational symmetry. The problems typically ask you to name shapes or figures that have both types of symmetry or to identify if a given figure possesses one, both, or neither. This tests your understanding of the relationship between reflection and rotation.

4. Where can I find reliable, step-by-step NCERT Solutions for Class 7 Maths Chapter 12 for the 2025-26 session?

You can find accurate and detailed NCERT Solutions for Class 7 Maths Chapter 12 on Vedantu. These solutions are created by experts and follow the official CBSE 2025-26 syllabus, offering a clear, step-by-step method for every question in the textbook to help you understand the correct answering pattern.

5. What is the fundamental difference between solving for line symmetry and rotational symmetry in Chapter 12?

The main difference is the type of transformation involved. Line symmetry is about reflection (finding a 'mirror line'), where you check if one half of the figure is a mirror image of the other. In contrast, rotational symmetry is about rotation (finding a 'centre point'), where you check how many times a figure matches itself during a full 360° turn.

6. How do I determine the centre of rotation and the angle of rotation for a shape as per the NCERT methodology?

To find the centre of rotation, you must identify the point that remains fixed as the figure turns. For regular shapes like squares or equilateral triangles, this is the point where the lines of symmetry intersect. To find the angle of rotation, you can divide 360° by the order of rotational symmetry. For example, a square has an order of 4, so its angle of rotation is 360°/4 = 90°.

7. Can a figure have rotational symmetry but no line of symmetry? How is this explained in the NCERT solutions?

Yes, a figure can have rotational symmetry without any line of symmetry. A common example shown in NCERT is a parallelogram. It has a rotational symmetry of order 2 because it looks the same after a 180° rotation about its centre. However, it has no line of symmetry, as it cannot be folded onto itself perfectly along any line.

8. Why is the order of rotational symmetry for a circle considered infinite?

A circle's order of rotational symmetry is infinite because it can be rotated around its centre by any angle, no matter how small, and it will still look exactly the same as its original position. Since there are infinite possible angles in a 360° turn, the circle has an infinite order of rotational symmetry.

9. How does the number of lines of symmetry relate to the order of rotational symmetry for regular polygons?

For any regular polygon, there is a direct relationship: the number of lines of symmetry is always equal to its order of rotational symmetry. For example:

An equilateral triangle has 3 lines of symmetry and an order of rotation of 3.
A square has 4 lines of symmetry and an order of rotation of 4.

This rule is a key concept for solving problems in Chapter 12.