# NCERT Solutions for Class 9 Maths Chapter 5

NCERT Solutions for Class 9 Maths Chapter 5 Euclid’s Geometry Exercise 5.1 and Exercise 5.2 in English Medium as well as Hindi Medium updated for new academic session 2021-2022 based on new CBSE Curriculum. Download UP Board Solutions for Class 9 Maths Prashnavali 5.1 and Prashnavali 5.2 in Hindi Medium free to use in PDF format for session 2021-2022. Questions are solved by subject experts without any mistake. It will help all the student to understand the concepts of Euclid’s lemma and postulates. All the NCERT Solutions 2021-22 are updated for new academic session for all board, who are following NCERT Books 2021-22.

All the Question-Answer are based on Current CBSE Syllabus 2021-22 for CBSE Board and UP Board students from 2021-2022 onward. Download Class 9 Maths App for Offline use or Download Kaksha 9 Ganit App for offline use. Contact us if you need any help in education. We never charge anything for services in education.

## NCERT Solutions for Class 9 Maths Chapter 5

### 9th Maths Chapter 5 Solutions in English & Hindi Medium

 Class: 9 Maths (English and Hindi Medium) Chapter 5: Euclid’s Geometry

NCERT Solutions for Class 9 Maths Chapter 5 Exercise 5.1 and 5.2 in Hindi & English Medium free to use ONLINE or download as PDF form to use it OFFLINE. CBSE NCERT Solutions for Class 9 are updated for academic session 2021-22. Visit to Discussion Forum to share your knowledge with the other users.

#### Class 9 Maths Exercise 5.1 and 5.2 Solutions in Video

Class 9 Maths Exercise 5.1 Solutions in Video
Class 9 Maths Exercise 5.2 Solutions in Video

### Class 9 Maths Chapter 5 Practice Questions with Solution

##### What are Euclid’s Postulate?

Euclid’s Postulate:
Postulate 1: A straight line may be drawn from any one point to any other point.
Postulate 2: A terminated line can be produced indefinitely.
Postulate 3: A circle can be drawn with any center and any radius.
Postulate 4: All right angles are equal to one another.
Postulate 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 less than two right angles.

##### Give two Equivalent versions of Euclid’s fifth postulate.

Equivalent versions of Euclid’s fifth postulate:
1. ‘For every line l and for every point P not lying on l, there exists a unique line m passing through P and parallel to l’.
1. Two distinct intersecting lines cannot be parallel to the same line.

#### Important Notes on 9th Maths Chapter 5

Euclid’s Axioms:

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

### Important Questions on 9th Maths Chapter 5

##### Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’?

Axiom 5: The whole is greater than the part. Since this is true for anything in any part of the world, this is a universal truth.

##### What are the Euclid’s five postulates?

Euclid’s postulates were : Postulate 1 : A straight line may be drawn from any one point to any other point. Postulate 2 : A terminated line can be produced indefinitely. Postulate 3 : A circle can be drawn with any centre and any radius. Postulate 4 : All right angles are equal to one another. Postulate 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 less than two right angles.

##### What are the equivalent versions of Euclid’s fifth postulate?

Two equivalent versions of Euclid’s fifth postulate are: (i) ‘For every line l and for every point P not lying on l, there exists a unique line m passing through P and parallel to l’. (ii) Two distinct intersecting lines cannot be parallel to the same line.

##### What are Euclid’s Axioms?

Some of Euclid’s axioms were : (1) Things which are equal to the same thing are equal to one another. (2) If equals are added to equals, the wholes are equal. (3) If equals are subtracted from equals, the remainders are equal. (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 things are equal to one another. (7) Things which are halves of the same things are equal to one another.

##### What is the geometry according to chapter 5 (Introduction To Euclid’s Geometry) of class 9th Maths?

The word ‘geometry’ comes from the Greek words ‘geo’, meaning the ‘earth’, and ‘metrein’, meaning ‘to measure’. Geometry appears to have originated from the need for measuring land. This branch of mathematics was studied in various forms in every ancient civilization, be it in Egypt, Babylonia, China, India, Greece, the Incas, etc. The people of these civilizations faced several practical problems which required the development of geometry in various ways.

##### Is chapter 5 of class 9th Maths contain any postulate?

Yes, chapter 5 of class 9th Maths contains five Euclid’s Postulates.
Euclid’s five postulates are:
Postulate 1: A straight line may be drawn from any one point to any other point.
Postulate 2: A terminated line can be produced indefinitely.
Postulate 3: A circle can be drawn with any centre and any radius.
Postulate 4: All right angles are equal to one another.
Postulate 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 less than two right angles.

##### How many exercises are there in chapter 5 of class 9th Maths and which exercise has the least number of questions?

There are two exercises in chapter 5 of class 9th Maths. The first exercise (Ex 5.1) has two examples (examples 1, 2) and seven questions. In the second exercise (Ex 5.2), there is one example (example 3) and two questions. So, exercise 5.2 has the least number of questions.

##### Is chapter 5 of class 9th Maths easy or complicated to understand and solve?

Chapter 5 of class 9th Maths is not easy and not complicated. It lies in the middle of easy and difficult because some examples and questions of this chapter are easy, and some are complicated. However, the difficulty level of anything varies from child to child. So, Chapter 5 of class 9th Maths is easy or not depends on children also. Some children find it difficult, some find it easy, and some find it in the middle of easy and difficult.      