NCERT Solutions for Class 6 Maths Chapter 13 Symmetry in Hindi

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NCERT Solutions for Class 6 Maths Chapter 13 Symmetry in Hindi PDF Download

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We, at Vedantu, offer free NCERT Solutions in English medium and Hindi medium for all the classes as well. Created by subject matter experts, these NCERT Solutions in Hindi are very helpful to the students of all classes. You can also download NCERT Solutions for Class 6 Maths  and NCERT Solutions for Class 6 Science to help you to revise complete syllabus and score more marks in your examinations.

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Access NCERT Solution for Class 6 Maths Chapter 13- सममिति part-1

Access NCERT Solution for Class 6 Maths Chapter 13- सममिति

प्रश्नावली 13.1

1. अपने घर अथवा स्कूल से किसी भी चार सममित वस्तुओं का उपयोग करे ?

उत्तर: पेपर शीट,ग्लास,सीडी ,बाल्टी


2.  दी गई आकृति में कौन सी दर्पण रेखा, अर्थात सममित रेखा है \[{{l}_{1}}\] या \[{{l}_{2}}\]?

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उत्तर: दर्पण रेखा, अर्थात सममित रेखा \[=\]\[{{l}_{2}}\]


3. नीचे दी गई आकृतियों की पहचाने । जाँच कीजिए कि आकृतियाँ सममित है या नहीं। उनकी समरूपता रेखा भी बनाए।

(a)

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(b)

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(c)

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(d)

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(e)

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(f)

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उत्तर: \[c\] को छोड़कर बाकी सभी आकृतियाँ सममित हैं।

समरूपता रेखा

(a)

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(b) 

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(c)

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(d)

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(e)

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(f)

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4. नीचे दी गई आकृतियों को वर्गांकित पेपर पर बनाइए। आपने वर्गांकित पेपर अपनी पिछ्ली कक्षाओं में अंकगणित नोट बुक में किया होगा। इन आकृतियों को इस तरह पूरा कीजिए कि बिंदुकित रेखा ही सममित रेखा हो।

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उत्तर: बिंदुकित रेखा ही सममित की रेखा के रूप मे बनाने के लिए ,दिये गए आंकडे निम्नानुसार खिचे जा सकते है-

(a)

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( b)

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(c) 

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(e)

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(f)

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5. दी गई आकृति में, l सममित रेखा है। इसे सममित बनाने के लिए आरेख को पूरा करे ।

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उत्तर: सममित बनाने के लिए आरेख-

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6. आकृति में, l सममित रेखा है। त्रिभुज का प्रतिबिम्ब खींचिए और इस आकृति को पूरा कीजिए जिससे यह सममित हो जाए।

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उत्तर: त्रिभुज का प्रतिबिम्ब-

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प्रश्नावली 13.2

1. नीचे दी गई आकृतियों में प्रत्येक की सममित रेखाओं की संख्या ज्ञात कीजिए। (a)

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(b) 

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(c)

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(d)

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(e)

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(f)

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(g)

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(h)

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(i)

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उत्तर: दी गई आकृतियों में प्रत्येक की सममित रेखाओं की संख्या क्रमशः-

 \[\left( a \right)\text{ }4\text{ }\left( b \right)\text{ }4\text{ }\left( c \right)\text{ }4\text{ }\left( d \right)\text{ }1\text{ }\left( e \right)\text{ }6\text{ }\left( f \right)\text{ }4\text{ }\left( g \right)\text{ }0\text{ }\left( h \right)\text{ }2\text{ }\left( i \right)\text{ }5\]


2. नीचे दी गई प्रत्येक आकृति में त्रिभुज को एक वर्गांकित पेपर पर बनाइए। प्रत्येक में सममित रेखा (रेखाओं) को, यदि है तो, उन्हें खींचिए और त्रिभुज के प्रकार को पहचानिए। (आप उनमें से कुछ आकृतियों का अनुरेख (trace) करना पसंद कर सकते हैं। पहले पेपर को मोड़ने वाली विधि द्वारा प्रयास करें)

(a)

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(b)

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(c)

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(d)

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उत्तर: आकृति में त्रिभुज को एक वर्गांकित पेपर पर-

(a)

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(b)

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(c)

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(d)

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3. निम्न तालिका को पूरा कीजिए:

उत्तर:

आकार

आकृति खाका या रूपरेखा

रेखाओ की संख्या

समबाहु त्रिभुज

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3

वर्ग

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4

आयत

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2

समद्विबाहु त्रिभुज

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1

समचतुर्भुज

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2

वृत्त

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अनगिनत


4. क्या आप एक ऐसा त्रिभुज बना सकते हो जिसमें

  1. केवल एक ही सममित रेखा हो?

  2. केवल दो ही सममित रेखाएँ हों?

  3. केवल तीन ही सममित रेखाएँ हों?

  4. कोई सममित रेखा न हो?

  5. प्रत्येक में आकृति की रूपरेखा (खाका) बनाइए।

उत्तर: (a)समद्विबाहु त्रिभुज

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(b) नहीं 

(c) समबाहु त्रिभुज 

(d) विषमबाहु त्रिभुज

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5. एक वर्गांकित पेपर पर निम्न की रूपरेखा बनाइए:

(संकेत :आपके लिए सहायक होगा यदि आप पहले सममित रेखा खींचे और उसके बाद आकृति को पूरा करें)

(a)एक त्रिभुज जिसमें क्षैतिज सममित रेखा तो हो परंतु उर्ध्वाधर सममित रेखा न हो।

उत्तर:

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(b)एक चतुर्भुज जिसमें क्षैतिज और उर्ध्वाधर सममित रेखाएँ हों।

उत्तर:

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(c)एक चतुर्भुज जिसमें क्षैतिज सममित रेखा तो हो परंतु उर्ध्वाधर सममित रेखा न हो।

उत्तर:

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(d)एक षट्भुज जिसमें केवल दो ही सममित रेखाएँ हों।

उत्तर:

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(e)एक षट्भुज जिसमें 6 सममित रेखाएँ हों।

उत्तर:

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6. प्रत्येक आकृति का अनुरेखण (ट्रेस) कीजिए और सममित रेखाओं को खींचिए।

उत्तर:

(a)

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(b)

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(c)

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(d)

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(f)

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7. अंग्रेजी वर्णमाला के \[\mathbf{A}\] से \[\mathbf{Z}\] तक के सभी अक्षरों पर विचार कीजिए। इनमें से उन अक्षरों की सूची बनाइए जिनमें

(a) उर्ध्वाधर सममित रेखाएँ हों (जैसा कि \[A\])

उत्तर: \[A,\text{ }H,\text{ }I,\text{ }M,\text{ }O,\text{ }T,\text{ }U,\text{ }V,\text{ }W,\text{ }X,\text{ }Y\]

(b) क्षैतिज सममित रेखाएँ हों (जैसा कि \[\mathbf{B}\])

उत्तर: \[B,\text{ }C,\text{ }D,\text{ }E,\text{ }H,\text{ }I,\text{ }K,\text{ }O,\text{ }X\] 

(c) सममित रेखाएँ न हों (जैसा कि \[\mathbf{Q}\])

उत्तर: \[F,\text{ }G,\text{ }J,\text{ }L,\text{ }N,\text{ }P,\text{ }Q,\text{ }R,\text{ }S,\text{ }Z\]


8. यहाँ पर कुछ मुड़ी हुई शीट की आकृतियाँ दी गई हैं। जिनकी तह पर आकृतियाँ बनाई गई हैं। प्रत्येक में पूर्ण आकृति की रूपरेखा खींचिए जो डिज़ाइन के काटने के बाद दिखाई देगी।

उत्तर:

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प्रश्नावली 13.3

1. नीचे दी गई आकृतियों में सममित रेखा की संख्या ज्ञात कीजिए। आप अपने उत्तर की जाँच कैसे करेंगे?

उत्तर: सममित रेखा की संख्या क्रमशः \[\left( a \right)\text{ }4\text{ }\left( b \right)\text{ }1\text{ }\left( c \right)\text{ }2\text{ }\left( d \right)\text{ }2\text{ }\left( e \right)\text{ }1\text{ }\left( f \right)\text{ }2\]

(a)

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(b)

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(c)

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(d)

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(f)

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2. नीचे दी गई आरेखण को वर्गांकित पेपर पर बनाइए। प्रत्येक को पूरा कीजिए जिससे प्राप्त आकृति में दो बिंदुकित रेखाएँ दो सममित रेखाओं के रूप में हों: 

उत्तर:

(a)

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(b)

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(c)

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(d)

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(f)

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3. नीचे दी गई आकृति में, अंग्रेज़ी वर्णमाला के एक अक्षर को उर्ध्वाधर रेखा के साथ दिखाया गया है। इस अक्षर का दी हुई दर्पण रेखा में प्रतिबिम्ब लीजिए। बताइए कौन सा अक्षर परावर्तन के बाद समान रहता है ( जैसे कौन सा अक्षर प्रतिबिंब में समान दिखाई देता है) और कौन सा नहीं। क्या आप कल्पना कर सकते हैं क्यों?

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उत्तर:अक्षर A मे प्रतिबिंब समान दिखेगा लेकिन B के प्रतिबिंब समान नहीं दिखेगा ।

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\[~A,\text{ }H,\text{ }I,\text{ }M,\text{ }O,\text{ }T,\text{ }U,\text{ }V,\text{ }W,\text{ }X,\text{ }Y\] इन अक्षरो का प्रतिबिंब समान बनेगा ।


NCERT Solutions for Class 6 Maths Chapter 13 Symmetry in Hindi

Chapter-wise NCERT Solutions are provided everywhere on the internet with an aim to help the students to gain a comprehensive understanding. Class 6 Maths Chapter 13 solution Hindi mediums are created by our in-house experts keeping the understanding ability of all types of candidates in mind. NCERT textbooks and solutions are built to give a strong foundation to every concept. These NCERT Solutions for Class 6 Maths Chapter 13 in Hindi ensure a smooth understanding of all the concepts including the advanced concepts covered in the textbook.

NCERT Solutions for Class 6 Maths Chapter 13 in Hindi medium PDF download are easily available on our official website (vedantu.com). Upon visiting the website, you have to register on the website with your phone number and email address. Then you will be able to download all the study materials of your preference in a click. You can also download the Class 6 Maths Symmetry solution Hindi medium from Vedantu app as well by following the similar procedures, but you have to download the app from Google play store before doing that. 

NCERT Solutions in Hindi medium have been created keeping those students in mind who are studying in a Hindi medium school. These NCERT Solutions for Class 6 Maths Symmetry in Hindi medium pdf download have innumerable benefits as these are created in simple and easy-to-understand language. The best feature of these solutions is a free download option. Students of Class 6 can download these solutions at any time as per their convenience for self-study purpose. 

These solutions are nothing but a compilation of all the answers to the questions of the textbook exercises. The answers/ solutions are given in a stepwise format and very well researched by the subject matter experts who have relevant experience in this field. Relevant diagrams, graphs, illustrations are provided along with the answers wherever required. In nutshell, NCERT Solutions for Class 6 Maths in Hindi come really handy in exam preparation and quick revision as well prior to the final examinations.

FAQs (Frequently Asked Questions)

1. What is the effective way to study Chapter 13 “Symmetry” of Class 6 Maths?

The effective way to study the Chapter 13 Symmetry of NCERT Solutions for Class 6 Maths is by practising all the solved examples and problems. Symmetry is one of the most important topics in Class 6 Maths. To get started with studying this chapter, you can make notes and write down important points and formulas in bullet points. Learn the core concepts and theory of this chapter first and then try to solve the exercises and questions.

2. Define symmetry included in Chapter 13 “Symmetry” of Class 6 Maths?

Symmetry is a term widely used for studying geometry. It is an important aspect of geometry. Symmetry in Chapter 13 of NCERT Solutions for Class 6 Maths means that when you move one shape while flipping, sliding, or turning, it then exactly becomes exactly like the other one. If the object is in equal proportion on both sides, then the object is symmetrical. In short, symmetry in Maths is like a mirror image.

3. Are NCERT Solutions for Class 6 Maths an important resource for studying?

Yes, the NCERT Solutions for Class 6 Maths are an important resource for studying. These solutions are provided for every class and different subjects. You will get to see the solutions in a stepwise manner along with the weightage of marks for each answer. It will help you in scoring good marks in the chapters or topics in which you are weak and enhance you further in the parts you are strong.

4. How many types of symmetry are there in Class 6 Maths Chapter 13?

There are four types of symmetry in Class 6  Maths:

  • Translation symmetry - In translation symmetry,  the object glides about on the centre line.

  • Reflection symmetry - When in an object, one half of the object reflects the other half, it is known as reflection symmetry. 

  • Glide symmetry - The summation of both translation and reflection conversions is known as glide symmetry. 

  • Rotational symmetry - In rotational symmetry, an object is rotated 90 degrees in a particular direction.

5. Mention a few types of questions covered in NCERT Solutions for Class 6 Maths Chapter 13?

In NCERT Solutions for Class 6 Maths Chapter 13, some of the types of questions covered are related to the number of lines of symmetry (single lines of symmetry, two lines of symmetry, three lines of symmetry or multiple lines of symmetry), identification of symmetric shapes, and the other questions which are given in the form of figures. In this chapter, you will find three exercises which will consist of seventeen questions.

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