NCERT Solutions for Class 7 Maths 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.

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