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  • Last Modified 02-02-2023

NCERT Solutions for Introduction to Euclids Geometry Exercise 5.2 Class 9 Maths

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Exercise 5.2 Class 9 Maths: Chapter 5 of Class 9th NCERT Book is Introduction to Euclid’s Geometry. There are two exercises in the chapter which have questions on different axioms and postulates given by Euclid and theorems based on them. The second exercise, i.e. Exercise 5.2 Class 9 Maths, is based on equivalent versions of Euclid’s fifth postulate. This article brings you the solutions to the questions in Exercise 5.2 of Class 9th NCERT Book. 

NCERT Solutions for Introduction to Euclids Geometry Exercise 5.2 Class 9 Maths are prepared by experienced subject-matter experts who have provided detailed and easy to understand solutions for the students. The students can also download the PDF of NCERT Class 9 Maths Chapter 5 Exercise 5.2 Solutions from the link provided in the later section of this article.

NCERT Solutions for Introduction to Euclids Geometry Exercise 5.2 Class 9 Maths: Overview

NCERT Solutions for Exercise 5.2 Class 9 Maths have detailed answers to all the questions. Students can use these NCERT Solutions to get help with their homework or prepare for their unit tests or final exams. The PDF of NCERT Class 9 Maths Exercise 5.2 Solution provided in the next section of this article can be downloaded and accessed offline as well. Before getting to the detailed NCERT solutions, let us have an overview of NCERT Solutions for Introduction to Euclids Geometry Exercise 5.2 Class 9 Maths.

ClassClass 9
Name of the ChapterIntroduction to Euclid’s Geometry
Exercise NumberEx 5.2
Topic NameEquivalent versions of Euclid’s fifth postulate
LanguageEnglish
Solution TypeQuestions and Answers
Official Websitehttps://ncert.nic.in/ 

NCERT Solutions for Exercise 5.2 Class 9 Maths: PDF Download

Students must practice all the questions of NCERT Textbooks to prepare for their CBSE Class 9th exams. Even though Mathematics is considered one of the most difficult subjects in Class 9th, students can score full marks in it if they prepare it well. All you need to do to prepare yourself to score full marks in Mathematics is practice. The most effective way to understand a topic in mathematics is to learn the basic concepts and important formulas and practice a good number of questions on it.

If you are facing challenges while solving Chapter 5 Maths Class 9 Exercise 5.2, you can check out Embibe’s NCERT Solutions and find the solutions. Detailed solutions with step by step explanations make it easier for the students to understand the answers well. The PDF file of Class 9 Maths Chapter 5 Exercise 5.2 Solutions can be easily accessed offline and will be helpful in the last-minute revision of the topic ‘Introduction to Euclid’s Geometry’. Find the PDF for NCERT Solutions for Introduction to Euclids Geometry Exercise 5.2 Class 9 Maths below:

NCERT Solutions for Exercise 5.2 Class 9 Maths: Advantages/ Benefits

Excellent subject matter experts at Embibe have prepared NCERT Solutions for Introduction to Euclids Geometry Exercise 5.2 Class 9 Maths for the students to help them to be able to understand the topic easily. ‘Introduction to Euclids Geometry’ is an important chapter in Geometry which is considered one of the most scoring chapters in Class 9th Mathematics. Students preparing for CBSE Class 9th exams must solve all the questions of NCERT Exercises to understand the topics better. The major benefits of NCERT Solutions for Introduction to Euclids Geometry Class 9 Maths have been given in the points below:

  • The NCERT Solutions for Class 9 Maths are aligned with the latest guidelines of the CBSE board.
  • The solutions for NCERT Class 9th Mathematics Exercises have been prepared by the subject matter experts who have a deep understanding of all mathematics concepts for Class 9th. They also have a significant amount of work experience in this field, which makes it easier for them to understand what is best for the students.
  • The solutions to the questions of Exercise 5.2 Class 9 Maths have been explained in as much detail as possible to help the students understand them easily.
  • The Class 9th NCERT Solutions PDFs come in handy for revision and last-minute preparations for final exams.
  • The weightage of the chapters provided in the NCERT solutions helps the students to understand the significance of a particular topic from the point of view of examination.
  • Students can carry the NCERT Solutions for as many exercises as they want on their phones or laptops without having to worry about carrying heavy books or notebooks everywhere they go.
  • These NCERT Solution PDFs are available absolutely of cost for all the exercises of all the NCERT Chapters on Embibe.
  • Students preparing for competitive exams like NEET, JEE Main, BITSAT, etc., can also get help from these solutions while completing the NCERT books of the subjects asked in the exams. 

About Exercise 5.2 Class 9 Maths

Chapter 5 of Class 9th Maths NCERT Book is on Introduction to Euclids Geometry. Exercise 5.2 is the second exercise of the chapter which deals with Equivalent versions of Euclid’s fifth postulate. Let us go through the postulates and axioms given by Euclid to understand the topic better.

Axioms:

1. The things which are equal to the same thing are equal to one another. 
2. If equals be added to the equals, the wholes are equal. 
3. If equals be subtracted from equals, the remainders are equals. 
4. Things which coincide with one another are equal to one another. 
5. The whole is greater than the part. 
6. Things which are double of the same thing are equal to one another. 
7. Things which are halves of the same thing are equal to one another. 

Postulates:

1. A straight line may be drawn from any point to any other point. 
2. A terminated line (line segment) can be produced indefinitely. 
3. A circle may be described with any centre and any radius. 
4. All right angles are equal to one another. 
5. If a straight line falling on two straight lines makes the interior angles on the same side of it, taken together less than two right angles, then the two straight lines if produced indefinitely, meet on that side on which the sum of angles is taken together less than two right angles. 
Euclid used the term postulate for the assumptions that were specific to geometry and otherwise called axioms. A theorem is a mathematical statement whose truth has been logically established.

Equivalent versions of Euclid’s fifth postulate:

Playfair’s Axiom: “For every line “l” and for every point “P” lying not on “l”, there exists a unique line “m” passing through P and parallel to “l”. 

From the figure given below, we can see that of all the lines passing through the point P, only line m is parallel to line l. So, we can also rewrite this statement as: 

Two distinct intersecting lines cannot be parallel to the same line.

FAQs About NCERT Solutions for Exercise 5.2 Class 9 Maths

Here are the most frequently asked questions about NCERT Solutions for Introduction to Euclids Geometry Exercise 5.2 Class 9 Maths:

Q.1: Where can I find NCERT Solutions for Class 9 Maths?
Ans: NCERT Solutions for circles Class 9 Maths have been provided under this post by embibe. Students can also find the direct links to download the PDF of NCERT solutions that can be accessed offline as well.

Q.2: I need solutions for all the questions of Exercise 5.2 Class 9 Maths. Where can I find the solutions?
Ans: The detailed solutions for all the questions of Exercise 5.2 Class 9 Maths are provided in this article. Students can also download the PDF file to access the solutions offline.

Q.3: Are NCERT Solutions for Class 9 Maths sufficient to prepare for CBSE Class 9th exams?
Ans: Yes, NCERT Solutions for Class Maths provided by Embibe are sufficient to prepare for CBSE Class 9th exams. Each and every exercise of all the chapters has been covered exhaustively in these NCERT Solutions for Class 9th.

Q.4: Is it possible to score full marks in CBSE Class 9 Maths exam by reading just NCERT solutions?
Ans: Yes, if you practice all the questions provided in Embibe’s NCERT Solutions for Class 9 Maths, you can score full marks in CBSE Class 9 Maths exam.

Q.5: Where can I find the NCERT Solutions for Exercise 5.2 Class 9 Maths and other exercises?
Ans: You can find NCERT solutions for Exercise 5.2 Class 9 Maths and all the other exercises at Embibe.

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