Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store

NCERT Solutions for Class 7 Maths Chapter 12 Symmetry Ex 12.2

ffImage

NCERT Solutions for Class 7 Maths Chapter 12 (EX 12.2)

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



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.




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.


FAQs on NCERT Solutions for Class 7 Maths Chapter 12 Symmetry Ex 12.2

1. What is the main focus of Class 7 Maths Chapter 10 Exercise 10.2 Solutions?

Exercise 10.2 deals with evaluating and simplifying algebraic expressions.

2. What are algebraic expressions according to class 7 maths chapter algebraic expressions exercise 10.2?

Algebraic expressions are combinations of variables, numbers, and mathematical operations (+, -, *, /).

3. What does it mean to evaluate an expression in Maths Class 7 Chapter 10 Exercise 10.2?

Evaluating an expression means finding its numerical value by substituting specific numbers for the variables.

4. How do I know which terms to combine when simplifying expressions?

As we studied in class 7 maths chapter algebraic expressions exercise 10.2, You can combine terms only if they are "like terms." Like terms have the same variable raised to the same power.

6. What are some examples of like terms in Class 7 Maths Exercise 10.2 Answer?

  • 3x^2, 5x^2 (both have x raised to the power of 2)

  • -2y, 7y (both have y raised to the power of 1, which is understood)

7. What are some examples of, unlike terms we studied in Class 7 Maths Exercise 10.2 Answer?

  • 3x^2, 5x (different exponents)

  • 2a, 3b (different variables)

8. What's the importance of PEMDAS/BODMAS?

PEMDAS/BODMAS tells you the correct order of operations to use when evaluating expressions with multiple operations (+, -, *, /).

9. How does PEMDAS/BODMAS work?

PEMDAS/BODMAS stands for Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right).


You perform operations within parentheses first, then exponents, then multiplication and division (whichever comes first from left to right), and finally addition and subtraction (from left to right).

10. What are some tips for solving problems in class 7 maths chapter algebraic expressions exercise 10.2?

  • Read the question carefully to understand what's being asked.

  • Identify the variables and their values (if provided).

  • Use PEMDAS/BODMAS to evaluate expressions with multiple operations.

  • Combine like terms whenever possible to simplify the expression.

11. Where can I find solutions to the problems in Maths Class 7 Chapter 10 Exercise 10.2?

You can refer to your NCERT textbook, solution manuals, or online resources for detailed solutions to the problems in Exercise 10.2 available at Vedantu.