# NCERT Solutions Class 10 Maths Chapter 6 Exercise 6.1

In a student’s academic career, Class 10 is a defining phase. Students are prepared for the difficultcourses they’ll encounter in higher education. Furthermore, some schools offer higher secondary education based on grade point averages from Class 10. Class 10 students must perform well on the CBSE board examination to have good future options. Students in Class 10 have to study a variety of difficult subjects. There are several study tools available on Extramarks that can be used to review and revise each subject.

The link for the NCERT Solutions For Class 10 Maths Chapter Exercise 6.1 based on Triangles is available on the Extramarks website and mobile application. Students can refer to these NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 online and download these NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1. These exercise questions have been meticulously answered by the Mathematics specialists at Extramarks.

The NCERT textbook contains questions that must be answered using the NCERT syllabus and guidelines. Resolving these questions repeatedly will help students gain more confidence. As a result, students should practise by working through  NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 for the Mathematics board exams.

The fundamental ideas of this chapter are covered in NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1. It might be stated that the exercise mostly focuses on reviewing the ideas students have learnt in earlier classes. As it contains the solutions to all the problems posed in the NCERT textbook, NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 can aid students in practising and learning every idea. The NCERT textbook questions should be thoroughly practised if one hopes to achieve a high score in the Class 10 Maths board test.

For children who will be taking the board exams, Class 10 Mathematics is a very important subject. To lay a solid foundation for learning more complex concepts the following year at the Senior Secondary level, they will learn the new concepts. Students should concentrate on NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1. They can obtain the NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 to make their preparation simpler. Triangle-related principles from this chapter’s section have all been effectively applied to the situations at hand.

The NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 can be downloaded to help students use geometry principles more effectively. They will acquire adequate knowledge and abilities based on this topic. Students can get the NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.1 while they are offline by downloading them in PDF format.Students should study very diligently and wisely. Extramarks also recommends that students obtain these NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.1 and begin preparing.

The NCERT Solutions for Class 10 Maths Chapter 6 Exercise 6.1 focuses on the fundamental concepts of trianglesThe essential justifications for similarity and congruence are covered in this chapter. Below is a list of some of the key points covered in this chapter:

• Congruent figures are two figures that are the same size and shape.
• Similar figures are two objects with the same shape but different sizes.
• Although the shapes and sizes of all congruent figures are comparable, similar figures need not necessarily be congruent.
• If the corresponding angles and sides of two polygons with the same number of sides are identical, the polygons are said to be similar.

Students must comprehend all of the theorems covered in this chapter to answer the questions in this exercise.

## NCERT Solutions Class 10 Maths Chapter 6 Exercise 6.1

There are 3 questions in the NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1, Triangles in Mathematics. These are based majorly on Similarity and Congruence. When two figures share the same shape and size, they are said to be congruent, whereas two figures that share the same shape but not necessarily the same size are referred to as comparable figures. Students must select the right response from a list of two possibilities for each of the four sub-questions in the first problem. The NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 are brief and simple to comprehend.

The main lesson for the students would be that similar figures do not necessarily have to be congruent, even when congruent figures can be similar. Students must be familiar with all of the theorems and postulates covered in the chapter to complete this exercise by following the NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1.

The chapter – Triangles from NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 includes all the fundamental ideas that serve as the cornerstones for the more intricate portions that will be taught later in this chapter.

Although the solutions are brief and to the point, having access to NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 is crucial for examinations. Students’ aptitude is tested in this activity, and exam questions based on these subjects are common. Before answering any questions in the NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1, students are asked to draw illustrations next to each one for greater clarification.

The Class 10 Mathematics Syllabus is designed to give students a strong foundation in Mathematics about the concept of geometry and help them understand new concepts in advanced classes. The NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 can be one of the most important learning resources. Moreover, these NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 provide explanations to all the questions.

The NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 include all the essential ideas that lay the groundwork for the more intricate parts that will come later in this chapter. This section focuses on the idea of resemblance, which states that if two figures are presented that have the same number of sides and if:

• their respective angles are the same, and
• the ratio of their corresponding sides is the same,

The numbers are then regarded as being equal.

Examples from this exercise have proven this assertion. The NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 is succinct and to the point, but it is very important for the test. Students can get a general understanding of various figures from the NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1, regardless of their magnitude. Squares, circles, and regular polygons are among the examples.

The subject matter of Exercise 6.1 in Class 10 Math is the characteristics of comparable and contemporaneous figures.

Apart from Triangles, the NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 also addresses the resemblance of other figures, like quadrilaterals.

Students can get the PDF versions of Class 10 Mathematics NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1. For the CBSE board exam, these chapter-by-chapter NCERT book questions and answers are highly beneficial. The majority of the questions in CBSE exams are taken from NCERT textbooks, which CBSE recommends. On the Extramarks website and mobile app, students may conveniently obtain the NCERT chapter-by-chapter solutions for the Mathematics Book for Class 10 for all the chapters.

### Access NCERT Solutions for Class 10 Maths Chapter 6 – Triangles

The NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 are based on Triangles, and thoroughly explain all the key ideas. Students can apply the principles of similarity and congruence in many real-life situations. This chapter focuses on issues like triangle congruence, similarity standards for them, and how the Pythagoras theorem can be demonstrated using these ideas. Numerous theorems in NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 will be useful in demonstrating the triangles’ congruence and similarity.

Students may find a detailed PDF of the NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 on the Extramarks website and mobile application, as well as some of these in the exercises:

• NCERT Solutions Class 10 Maths Chapter 6 Exercise 6.1
• NCERT Solutions Class 10 Maths Chapter 6 Exercise 6.2
• NCERT Solutions Class 10 Maths Chapter 6 Exercise 6.3
• NCERT Solutions Class 10 Maths Chapter 6 Exercise 6.4
• NCERT Solutions Class 10 Maths Chapter 6 Exercise 6.5
• NCERT Solutions Class 10 Maths Chapter 6 Exercise 6.6

Experts at Extramarks, carefully curate the NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 to keep the explanations as straightforward as possible. To make it simple for the students to understand, the explanations in these answers are provided stepwise, starting with the simple ideas and gradually going on to the more complicated ones. The NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1 can be downloaded in PDF format.

Triangles are the fundamental building blocks for other shapes like quadrilaterals and hexagons because they have clear-cut geometrical characteristics. Therefore, comprehending triangles will lay a strong foundation for further study of geometry. The chapter presents the pertinent theorems that successfully illustrate the concepts of congruence and similarity using engaging ideas. The following provides a brief examination of the practice questions in the various sections of NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1:

• Class 10 Maths Chapter 6 Exercise 6.1 – 3 Questions
• Class 10 Maths Chapter 6 Exercise 6.2 – 10 Questions
• Class 10 Maths Chapter 6 Exercise 6.3 – 16 Questions
• Class 10 Maths Chapter 6 Exercise 6.4 – 9 Questions
• Class 10 Maths Chapter 6 Exercise 6.5 – 17 Questions
• Class 10 Maths Chapter 6 Exercise 6.6 – 10 Questions

Similar figures, the similarity of triangles, the criteria for the similarity of triangles, the area of similar triangles, and Pythagoras’ theorem are the subjects discussed in NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1.

There is a list of crucial formulas that students must memorise in the NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1. Students can easily answer challenging triangle-related problems using these formulas. The most significant ones are those that depend on the similarity and congruence of various shapes. Students can simplify complex problems and find speedy solutions with their assistance. These Class 10 Maths NCERT Solutions Chapter 6 Exercise 6.1 are a useful resource that may help students not only complete the entire curriculum but also provide a thorough understanding of the courses.

### Exercise 6.1

The Class 10 Maths Chapter 6 Exercise 6.1 has three questions in total, and these solutions can prove to be an excellent resource for helping students correctly prepare for exams and achieve high test scores. The Extramarks website and mobile application both offer solutions to Chapter 6 named – Triangles along with important questions of Exercise 6.1 Class 10 Maths in PDF format, and some of them are also included in the exercises.

### NCERT Solutions of Class 10th Maths Chapter 6 Triangles Exercise 6.1

These solutions have all been created with the new CBSE pattern in mind to ensure that students fully comprehend their exams. These answers are created by subject matter experts to help students study for their first-term exams. It thoroughly explains each key principle, assisting students in grasping the concepts.

### Class 10 Triangles Maths Chapter 6 Exercise 6.1 NCERT Solution: Summary

Students in Class 10 will benefit from the chapter- and exercise-specific solutions provided in the NCERT Class 10 solutions. The new CBSE standards form the foundation for the Class 10 NCERT solutions. Students in Class 10 will gain a thorough comprehension of the chapter in addition to the numerical problems that are addressed in the chapter.

### NCERT Solutions for Class 10 Maths Chapter 6 Exercises

Students will learn how to solve problems correctly and gain a deeper understanding of the themes and chapters by using the NCERT Solutions For Class 10 Maths Chapter 6 Exercise 6.1. These answers can be used by students to finish their assignments and homework as well as prepare for exams. Listed below are the exercises that cover the syllabus:

• Ex 6.1 Introduction
• Ex 6.2 Similar Figures
• Ex 6.3 Similarity of Triangles
• Ex 6.4 Criteria of Similarity of Triangles
• Ex 6.5 Areas of Similar Triangles
• Ex 6.6 Pythagoras Theorem
• Ex 6.7 Summary

### Key Takeaways from the Exercise 6.1 of Class 10 Maths NCERT Solutions

Triangle fundamentals are the primary focus of Exercise 6.1 in the NCERT Solutions for Class 10. A major focus of this chapter is the fundamental justifications for similarity and congruence. The following list includes a few of the key points covered in this chapter:

• Congruent figures are those whose dimensions and shapes match.
• Similar figures are two objects that share the same shape but not the same size.
• The shapes and sizes of all congruent figures are comparable, but similar figures need not be congruent.
• If the respective angles are equal and the corresponding sides have the same ratio, two polygons with the same number of sides are regarded as comparable.

### Why should you download CBSE Class 10 Maths Chapter 6 Exercise 6.1 Solutions?

Students will require assistance from the Exercise 6.1 Class 10 solution for all questions to learn how to solve these problems. For exam preparation, Class 10 Maths Exercise 6.1 Solutions offer the following advantages:

• Foundation Chapter:

As previously stated, Chapter 6 Exercise 6.1 in Class 10 Maths is a crucial exercise in terms of the examination.Here, students will employ the theories and ideas they previously studied to resolve the issues. Every problem in Exercise 6.1 is application-based. They must therefore learn how to precisely answer these questions.

• Saves Time:

Students will learn how to solve the questions quickly and efficiently by using the CBSE Class 10 Maths Exercise 6.1 Solutions. The teachers have written each answer to the problems in NCERT Class 10 Maths Chapter 6 Exercise 6.1 while adhering to CBSE standards. To improve efficiency and confidence, practise NCERT Solutions Class 10 Maths Chapter 6 Exercise 6.1.

• Resolves Doubts:

Students can use the appropriate Class 10 Maths Chapter 6 Exercise 6.1 Solutions to answer any questions they may have.The students can ask questions and  get their queries or doubts addressed in the live doubt-clearing sessions provided by Extramarks.

### NCERT Solutions for Class 10 Maths

All Chapters 1 to 15 of the NCERT Solutions for Class 10 Mathematical Exercises are available to studentsExtramarks’ knowledgeable faculty has selected these NCERT Solutions to aid students in their test preparation. Students looking for Class 10 NCERT Solutions can download each chapter’s PDF to find a more effective way to approach the problems.

Extramarks provides NCERT solutions for the classes  listed below:

• NCERT Solutions Class 1
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• NCERT Solutions Class 12

Q.1 Fill in the blanks using the correct word given in brackets:
(i) All circles are ­­­­­­­­_______. (congruent, similar)
(ii) All squares are______. (similar, congruent)
(iii) All _______triangles are similar. (isosceles, equilateral)
(iv) Two polygons of the same number of sides are similar, if
(a) their corresponding angles are _______and
(b) their corresponding sides are_______. (equal, proportional)

Ans.
(i) All circles are­­­­­­ similar.
(ii) All squares are ­­­­­­similar.
(iii) All equilateral triangles are similar.
(iv) Two polygons of the same number of sides are similar, if
(a) their corresponding angles are equal and
(b) their corresponding sides are proportional.

Q.2 Give two different examples of pair of
(i) similar figures. (ii) non-similar figures.

Ans.
(i)
(a) Any two circles are similar.
(b) Any two squares are similar.

(ii)
(a) A trapezium and a parallelogram are not similar.
(b) An acute angle triangle and an obtuse angle triangle are not similar.

Q.3 State whether the following quadrilaterals are similar or not:

Ans.
Quadrilaterals PQRS and ABCD are not similar as their corresponding angles are not equal.