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NCERT Solutions for Class 10 Maths Chapter 6: Triangles - Exercise 6.1

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Last updated date: 17th Apr 2024
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NCERT Solutions Class 10 Maths Chapter 6 Triangles

Class 10 Mathematics is a very crucial subject for the students who are about to appear in the board exams. They will learn the new concepts to build a strong foundation to learn the advanced concepts next year at the Higher Secondary level. For this, students need to focus on the Class 10 Maths Chapter 6 Exercise 6.1, an important exercise. To make it easier, they can download Exercise 6.1 Class 10 Maths NCERT Solutions prepared by the top teachers of Vedantu. The concepts of this part of the chapter related to triangles have all been properly used to solve the problems more simply.


Class:

NCERT Solutions for Class 10

Subject:

Class 10 Maths

Chapter Name:

Chapter 6 - Triangles

Exercise:

Exercise - 6.1

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


By downloading Exercise 6.1 Class 10 Maths solution, you will become more efficient in using the concepts of geometry. Your knowledge and skills based on triangles will become excellent. The Class 10 Maths Ex 6.1 solution can be downloaded in PDF format for free and can be accessed offline at your convenience. This is the right time to study hard and smart. Get these Maths NCERT Solutions Class 10 Chapter 6 Exercise 6.1 today and start your preparation. Subjects like Science, Maths, English will become easy to study if you have access to NCERT Solution for Class 10 Science, Maths solutions, and solutions of other subjects that are available on Vedantu only.

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Access NCERT Solutions for Class 10 Maths Chapter 6 - Triangles

Exercise 6.1

1. Fill in the Blanks Using Correct Word Given in the Brackets:

i. All circles are ______. (congruent, similar)

Ans: Similar.


ii. All squares are ______. (similar, congruent)

Ans: Similar.


iii. All ______ triangles are similar. (isosceles, equilateral)

Ans: Equilateral.


iv. Two polygons of the same number of sides are similar, if their corresponding angles are ______ (equal, proportional)

Ans: Equal

And their corresponding sides are ______. (equal, proportional)

Ans: Proportional.


2. Give Two Different Examples of Pair of -

i. Similar Figures

Ans: The two examples for similar figures are 

  1. Two equilateral triangles having sides \[\text{2cm}\] and $\text{4cm}$.

(Image will  be Uploaded Soon)                                    

  1. Two squares having sides \[\text{2cm}\] and $\text{4cm}$.

(Image will  be Uploaded Soon)

                       

ii. Non-Similar Figures

Ans: The two examples for non - similar figures are

  1. A circle and a square.

(Image will  be Uploaded Soon)

  1. A triangle and a rectangle.

(Image will  be Uploaded Soon)


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

(Image will  be Uploaded Soon)

Ans: The given quadrilaterals $PQRS$ and $ABCD$ are not similar because their corresponding sides are proportional, that is, $1:2$ but their corresponding angles are not equal.


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

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

The Class 10 Maths Syllabus is designed to deliver a foundational platform for the students. You will find all the chapters quite conceptual in this syllabus. Do not skip any chapter as all of them will be needed to learn new concepts in the advanced classes. One such chapter is NCERT Class 10 Maths Exercise 6.1. This chapter focuses on the theorems taught related to triangles. You will learn what similar triangles are. You will also learn how similar geometric shapes vary and why are they considered similar.

These differences between similar geometric shapes will help you understand how these triangles vary from each other. If you study and solve the questions of Maths Class 10 Chapter 6 Exercise 6.1, you will find that some of the geometrical shapes are quite similar to each other. Learn these differences by paying attention to the features of these shapes. Use the Class 10 Maths NCERT Solutions Chapter 6 Exercise 6.1 to imbibe the concepts and prepare your knowledge to solve these problems in an exam. Follow the solutions for NCERT Class 10 Maths Ex 6.1 to learn how to approach a problem related to triangles accurately and score.


NCERT Solutions for Class 10 Maths Chapter 6 Exercises

Chapter 6 Triangles Exercises in PDF Format

Exercise 6.2

10 Questions & Solutions (9 Short Answer, 1 Long Answer)

Exercise 6.3

16 Questions & Solutions (12 Short Answer, 4 Long Answer)

Exercise 6.4

9 Questions & Solutions (7 Short Answers, 2 Long Answers)

Exercise 6.5

17 Questions & Solutions (15 Short Answer, 2 Long Answer)

Exercise 6.6

10 Questions & Solutions (5 Short Answers, 5 Long Answers)


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

Exercise 6.1 of NCERT Solutions for Class 10 Maths is mainly based on the basic concepts of triangles. This chapter basically deals with the fundamental explanations of similarity and congruence. Some of the important points discussed in this chapter are listed below.

  • Two figures having the same size and shape are congruent.

  • Two figures having the same shape but not the same size are called similar figures.

  • All the congruent figures are similar in shape and size but similar figures don’t have to be congruent.

  • Two polygons having the same number of sides are considered similar if the corresponding angles are equal and the corresponding sides are in the same ratio.

To solve the questions provided in this exercise, students should have a clear understanding of all the theorems discussed in this chapter.


Why Should You download CBSE Class 10 Maths Chapter 6 Exercise 6.1 Solutions?

Class 10 Chapter 6 Maths Exercise 6.1 is a crucial part to learn where students will be taught new concepts based on areas of the triangle using specific theorems. The sums in the Maths Class 10 Ex 6.1 will focus on how to use the theorems and concepts. To learn how to solve these problems, you will need the assistance of Maths Exercise 6.1 Class 10 solution for all questions. Let us check why Class 10 Maths Exercise 6.1 Solutions is beneficial for your preparation.

  • Foundation Chapter

As mentioned earlier, Class 10 Maths Chapter 6 Exercise 6.1 is a foundational part. The theorems and concepts you learned previously will be used here to solve the problems. Every problem in the Exercise 6.1 Class 10 Maths is application-based. Hence, you must learn how to answer these questions perfectly. Refer to the NCERT Solutions for Class 10 Maths 6.1 and learn how the teachers have answered the questions.

  • Save Time

With the use of CBSE Class 10 Maths Exercise 6.1 Solutions, you will learn how to solve the problems concisely and save time. Every solution for the questions in NCERT Class 10 Maths Chapter 6 Exercise 6.1 has been composed by the teachers following the CBSE guidelines. Practice using NCERT Solutions Class 10 Maths Chapter 6 Exercise 6.1 to become more efficient and confident.

  • Checking Your Answering Skills

As we all know, mathematics is a subject that needs constant evaluation. When you are in Class 10, you cannot spare a moment or avoid a chapter. To make your preparation better than ever, use the right Maths NCERT Solutions Class 10 Chapter 6 Exercise 6.1 prepared by the experts. Learn how to use the basic concepts from the Class 10 Maths 6.1 Solutions and become better than the class.

  • Resolving Your Doubts

By using the accurate Class 10 Maths Chapter 6 Exercise 6.1 Solutions, you can resolve your doubts and proceed ahead. There is no need to stop or wait for the teachers to check your doubts when you can do it on your own using the Class 10th Maths Chapter 6 Exercise 6.1 solutions.


NCERT Solutions for Class 10 Maths

FAQs on NCERT Solutions for Class 10 Maths Chapter 6: Triangles - Exercise 6.1

1. Why Should You Prefer Vedantu for Class 10 Maths Chapter 6 Ex 6.1 Solution?

The prime reason for choosing Vedantu for downloading Class 10 Maths Ch 6 Ex 6.1 solutions is quality answers and following the CBSE norms strictly. When you use these Class 10 Maths Ex 6.1 solutions to practice, you will become habituated to follow the same rules and score more.

2. How Can You Complete Preparing the Class 10 Maths Exercise 6.1?

Follow the classroom sessions attentively. Solve the exercise first. Download the Exercise 6.1 Class 10 Maths NCERT Solutions and find whether you have solved all the questions correctly or not. Compare your answers and learn how to do it better.

3. How many questions are there in Exercise 6.1 of Chapter 6 of Class 10 Mathematics?

There are three questions in total in the CBSE Exercise 6.1 of Chapter 6 of Class 10 Mathematics. The questions in these exercises are related to similar figures and congruence. To solve this exercise, you can take the help of the NCERT Solution that is available at Vedantu. The NCERT Solutions for Exercise 6.1 of Chapter 6 of Class 10 Mathematics has covered all questions in a precise manner. These answers have been worked out by experts who know how students can score well.

4. What are the examples of Similar Figures in Exercise 6.1 of Chapter 6 of Class 10 Mathematics?

Some of the examples of similar figures are squares, equilateral triangles, and circles. So, if there are two or more circles or squares, or equilateral triangles, you can call them similar figures. Two polygons with the same number of sides are also said to be similar in nature if the corresponding angles are equal and if the corresponding sides are in the same ratio or are proportionate to each other.

5. What is Exercise 6.1 of Chapter 6 of Class 10 Mathematics based on?

Exercise 6.1 of Chapter 6 of Class 10 Mathematics is a short exercise based on the introductory topic of similar figures. The exercise teaches you the difference between similarity and congruence. Students will learn that all congruent figures are similar but not all similar figures may be congruent. Exercise 6.1 also clarifies the conditions for two polygons to be similar. Fill in the blanks or short answer type questions can be asked from this exercise in Class 10 Board examinations. 


Vedantu's NCERT Solutions for Exercise 6.1 of Chapter 6 of Class 10 Mathematics provides easy to understand solutions for this exercise on its official website (vedantu.com). The study material provided by Vedantu can be downloaded absolutely free of cost.

6. Is Exercise 6.1 of Chapter 6 of Class 10 Mathematics easy?

Exercise 6.1 of Chapter 6 of Class 10 Mathematics is a piece of cake if you understand the basic concepts taught before the exercise. The exercise contains only 3 questions. These are pretty straightforward and test the direct application of concepts taught for this exercise. Similarity and congruence of circles, triangles, squares, and polygons are the basic principles to be learned for this exercise. Exercise 6.1 is a pretty basic exercise based on the foundational concepts of the chapter.

7. When are two polygons of the same number of sides similar according to Exercise 6.1 of Chapter 6 of Class 10 Mathematics?

Ans: Two polygons are said to be similar if they fulfil these two conditions:

  1. Their corresponding angles are equal

  2. Their corresponding sides are in the same proportion (or ratio).

Simple 1 or 2 marks questions can be asked in the exams based on this concept. 

Exercise 6.1 has one question (Question 3) based on this principle of similarity of polygons. 


The solution to this question is explained step by step with relevant figures here.