NCERT Solutions for Class 7 Maths Chapter 14 Symmetry (EX 14.1) Exercise 14.1

Mathematics is a subject that is vital to students in all aspects of their lives, not just school. So, having a strong grasp of Mathematics can benefit students not only in school but also in their everyday lives. Due to the fact that students study a variety of crucial concepts with several applications in Class 7, Mathematics is hugely important to study. They can create a strong basis for subsequent education by properly learning Mathematics and getting excellent results on the Class 7 exams. Mathematics is one of the most important and fundamental subjects. The combination of Class 7 and Mathematics is very intimidating for students. It is occasionally regarded as the most challenging subject to master. Mathematical concepts must be thoroughly understood in addition to extensive problem-solving practise. In several cases, students comprehend and remember every topic in the curriculum, but do not get enough practise in question-solving. They are consequently at a disadvantage when taking the final exams. They must therefore properly practice the exercises from the NCERT textbook. NCERT books are typically the main source of instruction in most schools, as recommended by the CBSE. NCERT solutions are therefore very necessary. NCERT solutions are essential for secondary classes like Class 7 when preparing for exams. Extramarks offers NCERT solutions such as the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 and other study modules to give students lots of practise before exams.

The most significant source of sample questions for CBSE Class 7 exams is considered to be NCERT exercises. That is why teachers constantly suggest that students practise questions from the NCERT textbook. In order to verify their answers, they also need accurate answers to the questions they attempt. That is when NCERT solutions provide students with the help they need to get ready for their exams. Students can more easily and precisely apply the concepts learned in Chapter 14 by using the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. The accurate and error-free NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 were written by highly qualified educators. They create these solutions while taking the mental abilities of Class 7 students into consideration. To make writing answers easier, the questions in this exercise have been broken into smaller, more manageable segments. Examiners frequently stress the necessity of stepwise answers. To achieve satisfactory test scores, students should follow the step-by-step instructions provided in the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. Even if they are solving the problems for the first time, they can thoroughly comprehend them due to Extramarks’ methodical preparation of the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. To make answering the questions simpler, Extramarks’ NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 also provide alternate and simpler solutions to some questions.

Students must choose books that adhere to CBSE guidelines when preparing for the annual exams for Class 7. As per CBSE guidelines, they are required to use textbooks published by the NCERT (National Council of Educational Research and Training). After studying each chapter in the NCERT book, students should try to respond to the questions therein, including those included in the examples and exercises. They must be informed of the right answers to the questions in order to evaluate their own answers. The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 are available as a result on the website Students with access to the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 can assess their comprehension of the concepts and find their strong and weak points. The NCERT Solutions for Class 7 Maths Chapter 14 Exercise 14.1, in addition to providing critically examined learning, assists students in developing a wide range of abilities, including logical and reasoning abilities.The NCERT Solutions for Class 7 Maths Chapter 14 Exercise 14.1 also assists students in efficiently preparing for the yearly exams, making it a critical step in exam preparation.

Students frequently struggle to choose the right resource to help them achieve their academic objectives. NCERT solutions offer the right and necessary response to their learning expectations. Students preparing for their yearly exams can use the Extramarks platform to find the NCERT Solutions for Class 7 Maths Chapter 14 Exercise 14.1 onlineAnother benefit is that the CBSE itself recommends adopting the NCERT textbook. The NCERT textbooks are used in the CBSE curriculum. Important questions can be found in plenty of NCERT textbooks. These questions frequently leave students perplexed, which reduces their confidence in the subject they are studying. Understanding the ideas taught in the first topic is crucial. Students would benefit from having a solid understanding of both basic and complex ideas when they have access to the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. Students can also gain solid conceptual knowledge by finishing each topic. By comparing their responses to these solutions, they can also evaluate their progress and make adjustments.

Receiving adequate guidance is necessary in order to comprehend the many topics taught in Class 7. Exam stress just makes it more challenging to achieve high marks in a subject like Mathematics. Students can use different forms of assistance at Extramarks in addition to receiving the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 from top subject specialists to fully understand a certain topic’s principles. By utilising the meticulously crafted learning tools that Extramarks offers, students can get access to the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 from prominent subject experts. With the help of the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1, students can boost their confidence in their study methods and for the impending exams. Class 7 involves a number of exams and tests at the school level to help students advance in their studies. . But in order to do well on their tests, students need the help of experts. Having access to the top subject experts’ NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 can help with exam preparation.

One of the most thorough and legitimate NCERT solutions on the internet is the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 accessible at Extramarks. Despite the fact that many websites provide these solutions, some experts have doubts regarding their validity. Students must use reliable study resources because exams are crucial for advancing in studies. The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 and other exercises are described in simple terms. Students can learn how to format their answers appropriately for each problem. The solutions provide the most effective and simple answers to mathematical problems. Extramarks offers additional study materials apart from the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. The study materials make it easier to comprehend the concepts needed to finish the exercises. Students can revise their chapters with the use of these study materials. They are written by experienced teachers with extensive experience in a clear and understandable manner. Extramarks also offers practise worksheets, solved exemplar problems, revision notes, and a range of other resources. As a result, students do not have to go looking elsewhere for more resources because they can discover all they need in one location. Students can also get study materials and practise papers from Extramarks to help them get ready for competitive exams like the Olympiads. Students can also use brief notes and important questions for a quick study prior to their exams.

To help students grasp all courses and topics, Extramarks’ Learning App includes chapter-by-chapter NCERT solutions, interesting activities, a tonne of practise problems, and several other features. By using adaptive assessments with increasing levels of difficulty, MCQs, and mock tests, students can create an upward learning graph and evaluate their knowledge.  All subjects for Class 7, including Mathematics, have NCERT chapter-by-chapter and topic-by-topic solutions available on Extramarks. Experts in the field actively simplify and explain concepts to assist with exam preparation. To further comprehend the concepts in Chapter 14, students may also access NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 and other chapters are available online for students to access in PDF format on the Extramarks portal.

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry (EX 14.1) Exercise 14.1

The expectations of students for their education are completely met by Extramarks. Despite the excellent study materials that NCERT textbooks offer, students still have trouble finding trustworthy NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. Extramarks offers precise and thorough NCERT solutions. Additionally, by integrating the benefits of live classrooms with the Learning App into one comprehensive learning package, it offers students a streamlined learning opportunity. On Extramarks, students can also find PDF versions of the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. Having continuous access to NCERT solutions is ideal, even when they are available online. With offline access, students may learn wheneverand wherever they desire. The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 offered by Extramarks can be used by students whenever they wish to learn. As a result, students will not experience unforeseen network issues or subpar internet access. Every question in the textbook is covered in the expert-curated NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1, allowing students the opportunity to learn while also getting ready for the test. Students can get the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 in PDF format from the Extramarks mobile application and website to continue their ongoing exam preparation.

Access NCERT Solutions for Class 7 Chapter 14 – Symmetry Exercise 14.1

Students must have access to a large number of questions and clearly explained solutions prior to their annual exams. The NCERT textbook questions are the principal source of questions in the great majority of question banks. Answering questions is made simpler by using the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. Students are much more confident in any exam when they have an efficient method of understanding and studying. Additionally, students can spend more time on all other aspects of their academics while still maintaining composure. All of the questions in the exercise are fully addressed in the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1.Students who consistently practise NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 will be able to respond to such questions in exams.. They will be better able to understand the ideas taught in the NCERT textbook if they have access to the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. Furthermore, they will be thoroughly aware of the right answers and approaches to each question. Every question in the NCERT textbook has a well-organised solution. Students can access the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 on the Extramarks website and mobile application to better comprehend the chapter’s concepts.

What will you learn in Class 7 Maths Chapter 14 Exercise 14.1 solutions of Extramarks?

The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 cover all the crucial topics listed on the CBSE syllabus for exams. The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 are written by experienced educators to help students get ready for problems that might appear in the CBSE Class 7 exams. Students can prepare for competitive exams by practising the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. To fully understand the problems, students must practice the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 numerous times. Students need to regularly practise  NCERT textbook exercises in order to complete the exam question paper within the allotted time. One of the most common reasons why students cannot finish the question paper in the allottedtime is a lack of practise. The exam paper also includes a number of questions from the NCERT book. Students learn how to write the answers by using the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1, which helps them complete the question paper before the exam’s time limit.

The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 provide thorough, error-free answers to all the exercise questions. If students practise using the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1, they will be able to respond to these questions quickly and correctly in exams. Students can apply the ideas given in the chapter more precisely by using the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 are developed by qualified and experienced specialists. The depth of information that students in Class 7 possess has been taken into consideration when creating these solutions. The requirement to write step-by-step answers in exams is always emphasised by examiners. In order to make it easier to write answers in tests, the problems in this chapter have been solved step by step. Students can get the best grade on tests by using the detailed solutions in the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. Some students may find it difficult to understand and remember the many concepts offered in the NCERT textbook, which prevents them from using them to answer the problems in the exercise. However, these concepts become simpler to learn and apply when students practise the stepwise solutions using the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1.

Students who are preparing for Class 7 exams must work hard and logically. To get the most out of their preparation, students need to create a sound approach. They must try to create a study timetable stating the amount of time needed for each subject and make an effort to adhere to it at all times. They must arrange every aspect of their preparation in advance.Students must download the NCERT Solutions for Class 7 Maths, Chapter 14, Exercise 14.1 ahead of time in order to use them throughout the year, even if they do not have access to the internet. First, they should carefully review each topic in the course syllabus. They should study the textbook’s questions and make notes on essential topics. Further, students must try to complete each exercise on their own. When they cannot, they should use the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 available at Extramarks. Also, they should pay close attention to the methods used in solving the questions. They can note the methods they followed to respond to various kinds of questions in their notes. Students should then revise the topics, giving their weak points more emphasis. Finally, in order to master the concepts, they should practise taking mock tests and sample question papers.

Contents of the CBSE Class 7 Chapter 14 Maths Exercise 14.1

Chapter 14 is one of the most crucial chapters in Class 7. The chapter is on Symmetry. Studying this chapter significantly enhances students’ logical thinking skills. Class 7 Maths Chapter 14 Exercise 14.1 includes numerous questions that frequently appear in the examinations. Class 7th Maths Chapter 14 Exercise 14.1 includes a total of 10 questions. This exercise covers some fundamental concepts of Symmetry that students can learn from the Introduction. This exercise also covers the topic of Lines of Symmetry for Regular Polygons. This exercise includes questions where students are required to find the lines of symmetry. Students need to learn to find the right way of solving such questions. The solutions provided by Extramarks can help them in this regard. Practising these types of questions not only helps students in their Class 7 exams but also in the future. As these questions help students improve their analytical skills, they can help students in various competitive exams in the future. Therefore, it is important that students solve Exercise 14.1 to be able to succeed in future exams as well.

Why Should You Refer To the Solutions of Extramarks to Study Maths Exercise 14.1 Class 7?

The Central Board of Secondary Education, also known as the CBSE, is a well-known national-level board of education in India. The CBSE is India’s largest educational board when measured by the total number of enrolled students. Since it is a national-level board, it has affiliations with numerous public and private schools across the nation. The Central government formed the CBSE before the country gained its independence to provide secondary education to kids in various parts of the country. The board was reorganised in 1962 to assist students who had to move between states to finish their education. The CBSE affiliates with thousands of schools around the country. In addition, the board is linked with a number of institutions outside of India. The board has its national headquarters in New Delhi and regional offices all around the country. The CBSE also conducts the board exams for students in Classes 10 and 12.

Class 7 is crucial for a student. The success of a student in Class 7 has a direct impact on their future career. The choices that are made in Class 7 will determine the courses that students choose for their higher education and their future employment. The exams in Class 7 examine students’ knowledge of several disciplines as well as a variety of soft skills, including perseverance, diligence, intelligence, problem-solving prowess, stress management ability, etc. To succeed, students should focus and remain cool as they study for their exams. Overly distracting activities should be avoided, and students should organise their study time wisely. The development of a student’s knowledge and intelligence level happens in Class 7. As a result, the significance of Class 7 cannot be underestimated. This is something that students should consider when they study for their exams.

The National Council of Educational Research and Training (NCERT) was created by the Union Government to aid in the development of policies aimed at enhancing school education in India. It was founded in 1961 and provides educational policy recommendations to the national and state governments. The NCERT conducts extensive research to improve schooling in India. It works with several academic institutions and international organisations as part of its research to enhance education across the nation. It also provides training programmes for instructors to help them master cutting-edge teaching techniques. Publication of textbooks and other educational resources is one of the NCERT’s main tasks. It also produces newsletters, journals, and other supplementary materials to give students of all classes an advanced education. Also, it offers online learning tools for students on its website, including PDF versions of the NCERT textbooks. The most significant aspect of CBSE students’ exam preparation is reading the NCERT books. In addition, the NCERT textbooks serve as the foundation for a large number of competitive exams. This makes it essential for students in Class 7 to complete the NCERT textbooks thoroughly.

Students can benefit from the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 on Extramarks in a variety of ways. The comprehensive, stepwise solutions provided in the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 can be used to help students with challenging problems. It is necessary to segment complicated mathematical problems in order to solve them. Students may find the solution to this problem in the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. Using the NCERT textbook helps them better understand some of the most challenging topics. Students’ performance can be evaluated by comparing their answers to NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1.They can access the thoroughly reviewed NCERT Solutions for Class 7 Maths, Chapter 14, Exercise 14.1.Although there are many websites that offer these solutions, their correctness is contested and subject to debate.Since examinations are so important for students, they must use trustworthy study resources. Users have confirmed the validity of the NCERT solutions that Extramarks provides. The detailed NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 and other exercises are presented in a clear and understandable manner. The students are given the most effective system for organising their answers.They provide the simplest and most efficient answers to a variety of mathematical problems.

At the end of the NCERT book, students can find the answers to the exercises’ problems. However, just giving the answers is insufficient for students, since they also need to understand how the answer was arrived at. Hence, students need detailed stepwise solutions. Students can acquire the skills necessary to respond to any question if the stages and approach are made explicit. An example of a study guide where students may fully comprehend and learn about the solutions and methods from beginning to end is the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 by Extramarks. Students studying for their annual examinations can benefit from the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 since they are prepared in plain language that all students can understand. For students to succeed in their exams, the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 have been written in a stepwise fashion. To save students from having to go elsewhere for the topics covered by the curriculum, the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 have in fact been developed in accordance with the most recent syllabus. All CBSE guidelines are followed by the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. The questions in the exercises are all addressed in the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1, which is also entirely error-free. Using the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1, students can practise for exams by swiftly and accurately responding to questions like these. Students can successfully solve the NCERT problems with the aid of Extramarks’ NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 since they are written in an engaging style. Using the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 can help students apply the concepts from the chapter more precisely and quickly.

Chapter 14 is a significant component of competitive tests like the Olympiads in addition to the CBSE Class 7 exams. Success on these tests also impacts a student’s career. The extreme stress imposed on students causes them to get overwhelmed and occasionally become psychologically exhausted. Students may fully comprehend and retain the topics needed to study by using study tools like the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 offered by Extramarks. This gives them more confidence as they get ready for various exams. It will be easier for students to score well in the Olympiads and other competitive exams if they correctly follow  NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 and other exercises.The NCERT Solutions for Class 7 Maths, Chapter 14, Exercise 14.1 provides clear explanations of all possible solutions to help students succeed in these difficult exams.Furthermore, the design of the Class 7 exams practically ensures that students’  abilitiesto solve problems are under test.  Anyone who can pass this difficult exam will be able to pass other difficult competitive exams.The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 will help students strengthen their fundamental concepts and will be a crucial part of their preparation process for both the Class 7 school exams and other competitive exams. The Olympiads, NTSE, and other competitive tests can be passed with less effort by being thorough with the NCERT solutions.

One of the most helpful tools for students getting ready for the Class 7 exams is the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. The answers to all the problems are provided in the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 in an understandable and straightforward manner. Experts with years of experience in CBSE exams have produced and verified the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. They can therefore be reliedupon because they are exact and error-free. The CBSE guidelines are followed by the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 in order to help students achieve the highest marks possible. For the purpose of assisting students in fully understanding the principles, every detail has been fully described. To make them simpler to understand, harder problems have been divided into smaller components. Diagrams on Symmetry are properly drawn in the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 to help students clearly understand the concepts. As a result, students can use the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 as their go-to resource for trustworthy answers to the exercise questions.

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Extramarks provides NCERT solutions for every chapter for Class 7 students studying Mathematics, including the NCERT Solutions for Class 7 Maths Chapter 14 Exercise 14.1.Extramarks offers a variety of other study tools for students in Class 7 in all subjects, in addition to the NCERT Solutions for Class 7 Maths Chapter 14 Exercise 14.1.. The study tools help students fully understand the ideas required to finish assignments. The study materials can be used by students to review their chapter content. These are authored by a group of highly skilled professors with many years of expertise in a straightforward and simple-to-understand format. Chapterwise worksheets, CBSE past years’ papers, mock tests, MCQs, and more are available on Extramarks. Students may also discover all they need for their studies in one location, rather than having to look elsewhere. Through Extramarks, they get the opportunity to study with a number of knowledgeable teachers who have rich backgrounds in various fields.They employ teaching strategies based on rich media to properly explain each subject. To help students meet their learning goals and achieve better results, Extramarks consistently emphasises concept building along with rigorous and quick practice. To help students with their preparation, subject-matter experts have also produced the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 and other resources. For students preparing for several competitive tests like the Olympiads, Extramarks also provides study resources and practise tests. To acquire a rapid overview before the tests, students can also benefit from quick revision notes and practise questions. It will boost their self-esteem as they study for several tests.

The internet is a huge source of NCERT solutions. Students can find NCERT solutions from teachers with experience and qualifications on a variety of websites. However, students must confirm the legitimacy of these sites. Every learning platform is not reliable. Only a select few websites that offer NCERT solutions from experienced and well-informed teachers are useful for students. One such site is Extramarks. The NCERT Solutions For Class 7 Maths Chapter 14 Exercise 14.1 in PDF format might not always be available to students. It is vital to have internet access, however, this may not always be possible. However, if students have the Class 7 Maths Chapter 14 Exercise 14.1 Solution in PDF format, they can continue their studies. Learning can happen anyplace, at any time, because PDF files can be viewed offline. Therefore, Extramarks offers the NCERT solutions in the form of downloadable PDF files on its website and mobile application. As a result, Extramarks acts as the ultimate source for easily accessible NCERT solutions.

A student’s career is significantly influenced by what they learn in Class 7. To perform well in the exams, it is essential to prepare adequately beforehand. Due to this, Extramarks provides a range of study modules to help students at every step of exam preparation. Students can get the latest CBSE syllabus on the Extramarks website to support their preparation. To prevent confusion regarding the subjects that must be covered, it is essential to be familiar with the most recent syllabus. They can also get chapter-specific worksheets, important questions, and NCERT solutions. They can also obtain the revision notes for Mathematics and other subjects to assist in reviewing the subjects before their exams. Extramarks also provides CBSE sample question papers to support students in their exam preparation. For all of their study needs, students can use the Extramarks platform and ace their examinations.

Students face difficult circumstances during the Class 7 examinations. The annual exams cause anxiety in students who have not yet taken them. They perform poorly because they do not adequately study for the tests. They struggle to get the intended outcomes. However, students can get over their apprehension of exams by adequately preparing and utilising the best resources available.Extramarks are always useful in this situation It provides a variety of study resources to help students better prepare for their exams. Students get access to a complete study package with Extramarks.  Students frequently express a desire for dependable NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1.Extramarks offers accurate and comprehensive NCERT solutions. Aside from this, it provides a comprehensive learning solution that combines the benefits of live classrooms and the Learning App to give students a comfortable and complete learning environment. Extramarks uses animations and images to make common textbook topics more engaging. The 2D and 3D animation teams specialise in enhancing knowledge and memory recall during web-based learning to make it more engaging. For students to study passionately, Extramarks provides an integrated system that combines student interaction.

Students across all boards in the country have trouble with Mathematics. In contrast to other subjects, the CBSE Mathematics syllabus for Class 7 focuses more on logic. Students can do well on their exams when they can comprehend the concepts clearly. The Extramarks platform helps Class 7 students at that point. At Extramarks, students have access to 3D learning materials. Students can use immersive learning resources from Extramarks that feature 3D learning resources created by subject-matter specialists to help them comprehend the concepts more quickly and efficiently. The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 are only one of the many resources that students need to help them study for their examinations. The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1 on Extramarks will assist students in understanding the various question types that will appear on the question paper and in preparing for the annual exams. Effective approaches for answering the questions can be learnt from the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.1. Hence, the Extramarks platform can be relied upon throughout the preparation period for exams in Class 7.

Q.1 Copy the figures with punched holes and find the axes of symmetry for the following:


The axes of symmetry in the given figures are as follows: MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@8A02@


Given the lines of symmetry, find the other hole(s):



In the following figures, the mirror line(i.e., the line of symmetry) is given as a dotted line. Completeeach figure performing reflection in the dotted (mirror) line.(You might perhaps place a mirror along the dotted line andlook into the mirror for the image). Are you able to recall the name of the figure you complete?


(a) It will be a square. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGOaakcqqGHbqycqqGPaqkcqqGGaaicqqGjbqscqqG0baDcqqGGaaicqqG3bWDcqqGPbqAcqqGSbaBcqqGSbaBcqqGGaaicqqGIbGycqqGLbqzcqqGGaaicqqGHbqycqqGGaaicqqGZbWCcqqGXbqCcqqG1bqDcqqGHbqycqqGYbGCcqqGLbqzcqqGUaGlaaa@5E31@

(b) It will be a triangle. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGOaakcqqGIbGycqqGPaqkcqqGGaaicqqGjbqscqqG0baDcqqGGaaicqqG3bWDcqqGPbqAcqqGSbaBcqqGSbaBcqqGGaaicqqGIbGycqqGLbqzcqqGGaaicqqGHbqycqqGGaaicqqG0baDcqqGYbGCcqqGPbqAcqqGHbqycqqGUbGBcqqGNbWzcqqGSbaBcqqGLbqzcqqGUaGlaaa@60CB@

(c) It will be a Rhombus. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGOaakcqqGJbWycqqGPaqkcqqGGaaicqqGjbqscqqG0baDcqqGGaaicqqG3bWDcqqGPbqAcqqGSbaBcqqGSbaBcqqGGaaicqqGIbGycqqGLbqzcqqGGaaicqqGHbqycqqGGaaicqqGsbGucqqGObaAcqqGVbWBcqqGTbqBcqqGIbGycqqG1bqDcqqGZbWCcqqGUaGlaaa@5F5A@

(d) It will be a Circle. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGOaakcqqGKbazcqqGPaqkcqqGGaaicqqGjbqscqqG0baDcqqGGaaicqqG3bWDcqqGPbqAcqqGSbaBcqqGSbaBcqqGGaaicqqGIbGycqqGLbqzcqqGGaaicqqGHbqycqqGGaaicqqGdbWqcqqGPbqAcqqGYbGCcqqGJbWycqqGSbaBcqqGLbqzcqqGUaGlaaa@5DB9@

(e) It will be a Pentagon. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGOaakcqqGLbqzcqqGPaqkcqqGGaaicqqGjbqscqqG0baDcqqGGaaicqqG3bWDcqqGPbqAcqqGSbaBcqqGSbaBcqqGGaaicqqGIbGycqqGLbqzcqqGGaaicqqGHbqycqqGGaaicqqGqbaucqqGLbqzcqqGUbGBcqqG0baDcqqGHbqycqqGNbWzcqqGVbWBcqqGUbGBcqqGUaGlaaa@609D@

(f) It will be a Octagon.


The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.

Identify multiple lines of symmetry, if any, in each of the following figures.


(a) The given figure has 3 lines of symmetry. Therefore, it has multiple lines of symmetry. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@B22E@

(b) The given figure has 2 lines of symmetry. Therefore, it has multiple lines of symmetry.

(c) The given figure has 3 lines of symmetry. Therefore, it has multiple lines of symmetry. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakqaabeqaaiabbIcaOiabbogaJjabbMcaPiabbccaGiabbsfaujabbIgaOjabbwgaLjabbccaGiabbEgaNjabbMgaPjabbAha2jabbwgaLjabb6gaUjabbccaGiabbAgaMjabbMgaPjabbEgaNjabbwha1jabbkhaYjabbwgaLjabbccaGiabbIgaOjabbggaHjabbohaZjabbccaGiabbodaZiabbccaGiabbYgaSjabbMgaPjabb6gaUjabbwgaLjabbohaZjabbccaGiabb+gaVjabbAgaMjabbccaGiabbohaZjabbMha5jabb2gaTjabb2gaTjabbwgaLjabbsha0jabbkhaYjabbMha5jabb6caUaqaaiabbsfaujabbIgaOjabbwgaLjabbkhaYjabbwgaLjabbAgaMjabb+gaVjabbkhaYjabbwgaLjabbYcaSiabbccaGiabbMgaPjabbsha0jabbccaGiabbIgaOjabbggaHjabbohaZjabbccaGiabb2gaTjabbwha1jabbYgaSjabbsha0jabbMgaPjabbchaWjabbYgaSjabbwgaLjabbccaGiabbYgaSjabbMgaPjabb6gaUjabbwgaLjabbohaZjabbccaGiabb+gaVjabbAgaMjabbccaGiabbohaZjabbMha5jabb2gaTjabb2gaTjabbwgaLjabbsha0jabbkhaYjabbMha5jabb6caUaaaaa@B232@

(d) The given figure has 2 lines of symmetry. Therefore, it has multiple lines of symmetry. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@B232@

(e) The given figure has 4 lines of symmetry. Therefore, it has multiple lines of symmetry. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@B238@

(f) The given figure has only 1 line of symmetry. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGOaakcqqGMbGzcqqGPaqkcqqGGaaicqqGubavcqqGObaAcqqGLbqzcqqGGaaicqqGNbWzcqqGPbqAcqqG2bGDcqqGLbqzcqqGUbGBcqqGGaaicqqGMbGzcqqGPbqAcqqGNbWzcqqG1bqDcqqGYbGCcqqGLbqzcqqGGaaicqqGObaAcqqGHbqycqqGZbWCcqqGGaaicqqGVbWBcqqGUbGBcqqGSbaBcqqG5bqEcqqGGaaicqqGXaqmcqqGGaaicqqGSbaBcqqGPbqAcqqGUbGBcqqGLbqzcqqGGaaicqqGVbWBcqqGMbGzcqqGGaaicqqGZbWCcqqG5bqEcqqGTbqBcqqGTbqBcqqGLbqzcqqG0baDcqqGYbGCcqqG5bqEcqqGUaGlaaa@7DF2@

(g) The given figure has 4 lines of symmetry. Therefore, it has multiple lines of symmetry. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@B23C@

(h) The given figure has 6 lines of symmetry. Therefore, it has multiple lines of symmetry.


Copy the figure given here. Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. Is there more than one way to do that? Will the figure be symmetric about both the diagonals?


There is one more way to do it and it is given below: MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGubavcqqGObaAcqqGLbqzcqqGYbGCcqqGLbqzcqqGGaaicqqGPbqAcqqGZbWCcqqGGaaicqqGVbWBcqqGUbGBcqqGLbqzcqqGGaaicqqGTbqBcqqGVbWBcqqGYbGCcqqGLbqzcqqGGaaicqqG3bWDcqqGHbqycqqG5bqEcqqGGaaicqqG0baDcqqGVbWBcqqGGaaicqqGKbazcqqGVbWBcqqGGaaicqqGPbqAcqqG0baDcqqGGaaicqqGHbqycqqGUbGBcqqGKbazcqqGGaaicqqGPbqAcqqG0baDcqqGGaaicqqGPbqAcqqGZbWCcqqGGaaicqqGNbWzcqqGPbqAcqqG2bGDcqqGLbqzcqqGUbGBcqqGGaaicqqGIbGycqqGLbqzcqqGSbaBcqqGVbWBcqqG3bWDcqqG6aGoaaa@832A@


Copy the diagram and complete each shape to be symmetric about the mirror line (s):


The given figures can be completed about the given mirror lines as follows: MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@A102@


State the number of lines of symmetry for the followingfigure:(a) An equilateral triangle (b) An isosceles triangle(c) A scalene triangle (d) A square(e) A rectangle (f) A rhombus(g) A parallelogram (h) A quadrilateral(i) A regularhexagon (j) A circle


(a) There are 3 lines of symmetery in an equilateral triangle. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@8ECD@

(b) There is only 1 line of symmetery in an isosceles triangle.

(c) There is no line of symmetry in a scalene triangle. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@85B6@

(d) There are 4 lines of symmetery in a square. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGOaakcqqGKbazcqqGPaqkcqqGGaaicqqGubavcqqGObaAcqqGLbqzcqqGYbGCcqqGLbqzcqqGGaaicqqGHbqycqqGYbGCcqqGLbqzcqqGGaaicqqG0aancqqGGaaicqqGSbaBcqqGPbqAcqqGUbGBcqqGLbqzcqqGZbWCcqqGGaaicqqGVbWBcqqGMbGzcqqGGaaicqqGZbWCcqqG5bqEcqqGTbqBcqqGTbqBcqqGLbqzcqqG0baDcqqGLbqzcqqGYbGCcqqG5bqEcqqGGaaicqqGPbqAcqqGUbGBcqqGGaaicqqGHbqycqqGGaaicqqGZbWCcqqGXbqCcqqG1bqDcqqGHbqycqqGYbGCcqqGLbqzcqqGUaGlaaa@7B14@

(e) There are 2 lines of symmetry in a rectangle. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGOaakcqqGLbqzcqqGPaqkcqqGGaaicqqGubavcqqGObaAcqqGLbqzcqqGYbGCcqqGLbqzcqqGGaaicqqGHbqycqqGYbGCcqqGLbqzcqqGGaaicqqGYaGmcqqGGaaicqqGSbaBcqqGPbqAcqqGUbGBcqqGLbqzcqqGZbWCcqqGGaaicqqGVbWBcqqGMbGzcqqGGaaicqqGZbWCcqqG5bqEcqqGTbqBcqqGTbqBcqqGLbqzcqqG0baDcqqGYbGCcqqG5bqEcqqGGaaicqqGPbqAcqqGUbGBcqqGGaaicqqGHbqycqqGGaaicqqGYbGCcqqGLbqzcqqGJbWycqqG0baDcqqGHbqycqqGUbGBcqqGNbWzcqqGSbaBcqqGLbqzcqqGUaGlaaa@7D9E@

(f) There are 2 lines of symmetry in a rhombus. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGOaakcqqGMbGzcqqGPaqkcqqGGaaicqqGubavcqqGObaAcqqGLbqzcqqGYbGCcqqGLbqzcqqGGaaicqqGHbqycqqGYbGCcqqGLbqzcqqGGaaicqqGYaGmcqqGGaaicqqGSbaBcqqGPbqAcqqGUbGBcqqGLbqzcqqGZbWCcqqGGaaicqqGVbWBcqqGMbGzcqqGGaaicqqGZbWCcqqG5bqEcqqGTbqBcqqGTbqBcqqGLbqzcqqG0baDcqqGYbGCcqqG5bqEcqqGGaaicqqGPbqAcqqGUbGBcqqGGaaicqqGHbqycqqGGaaicqqGYbGCcqqGObaAcqqGVbWBcqqGTbqBcqqGIbGycqqG1bqDcqqGZbWCcqqGUaGlaaa@7B28@

(g) There is no line of symmetry in a parallelogram. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGOaakcqqGNbWzcqqGPaqkcqqGGaaicqqGubavcqqGObaAcqqGLbqzcqqGYbGCcqqGLbqzcqqGGaaicqqGPbqAcqqGZbWCcqqGGaaicqqGUbGBcqqGVbWBcqqGGaaicqqGSbaBcqqGPbqAcqqGUbGBcqqGLbqzcqqGGaaicqqGVbWBcqqGMbGzcqqGGaaicqqGZbWCcqqG5bqEcqqGTbqBcqqGTbqBcqqGLbqzcqqG0baDcqqGYbGCcqqG5bqEcqqGGaaicqqGPbqAcqqGUbGBcqqGGaaicqqGHbqycqqGGaaicqqGWbaCcqqGHbqycqqGYbGCcqqGHbqycqqGSbaBcqqGSbaBcqqGLbqzcqqGSbaBcqqGVbWBcqqGNbWzcqqGYbGCcqqGHbqycqqGTbqBcqqGUaGlaaa@824B@

(h) There is no line of symmetry in a quadrilateral. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaqaafaaakeaacqqGOaakcqqGObaAcqqGPaqkcqqGGaaicqqGubavcqqGObaAcqqGLbqzcqqGYbGCcqqGLbqzcqqGGaaicqqGPbqAcqqGZbWCcqqGGaaicqqGUbGBcqqGVbWBcqqGGaaicqqGSbaBcqqGPbqAcqqGUbGBcqqGLbqzcqqGGaaicqqGVbWBcqqGMbGzcqqGGaaicqqGZbWCcqqG5bqEcqqGTbqBcqqGTbqBcqqGLbqzcqqG0baDcqqGYbGCcqqG5bqEcqqGGaaicqqGPbqAcqqGUbGBcqqGGaaicqqGHbqycqqGGaaicqqGXbqCcqqG1bqDcqqGHbqycqqGKbazcqqGYbGCcqqGPbqAcqqGSbaBcqqGHbqycqqG0baDcqqGLbqzcqqGYbGCcqqGHbqycqqGSbaBcqqGUaGlaaa@825D@

(i) There are 6 lines of symmetery in a regular hexagon. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@86B7@


What letters of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection)about.(a) a vertical mirror(b) a horizontal mirror(c) both horizontal and vertical mirrors.


(a) A, H, I,M, O, T, U, V, W, X, Y are the letters having a reflectional symmetry about a vertical mirror. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@BE07@

(b) B, C, D, E, H, I, K, O, X are the letters having a reflectional symmetry about a horizontal mirror. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@BB9C@

(c) H,I,O,X are the letters having a reflectional symmetry about horizontal and vertical mirror.


Give three examples of shapes with no line of symmetry.


A scalene triangle, a parallelogram and a trapezium have no line of symmetry. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@A2E2@


What other name can you give to the line of symmetry of(a) an isosceles triangle?(b) a circle?


(a) An isosceles triangle has one line of symmetry. Therefore, this line of symmetry is the median and also the altitude of the isosceles triangle. MathType@MTEF@5@5@+=feaaguart1ev2aaatCvAUfKttLearuGu1bxzLbIrVjxyKLwyUbqeduuDJXwAKbYu51MyVXgatCvAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wzZbItLDhis9wBH5garqqr1ngBPrgifHhDYfgasaacH8MrFz0xbbf9q8WrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0=yr0RYxir=Jbba9q8aq0=yq=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@F88E@

(b) In a circle, there are infinite lines of symmetry. Some of which are represented as below:

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