# NCERT Solutions for Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry

NCERT Solutions Class 9 Maths Chapter 5 Introduction To Euclid’s Geometry gives students a look into an essential chapter of the NCERT curriculum. Euclidean geometry as a concept is arguably the most practical application of mathematics in our daily lives and is an important concept to understand a significant portion of several chapters that you will get later. Class 9 Maths NCERT Solutions chapter 5 will make your foundations of geometry really solid and ensure that you can build upon them feasibly.

NCERT Solutions Class 9 Maths Chapter 5 Introduction To Euclid’s Geometry, focuses on several key concepts like Euclid’s axioms and postulates. These concepts can be rather tedious to learn so  Class 9 Maths NCERT Solutions chapter 5 will make the process much easier by providing all the required learning in one convenient place.

## Euclid’s postulates in Class 9 maths chapter 5

1. Postulate I: A straight line may be drawn from one point to another point (While Euclid does not mention it an addendum can be made – 5.1: There is a unique line for two distinct points)
2. Postulate II: A terminated line (now called a line segment) can be produced indefinitely.
3. Postulate III: A circle can be drawn with any centre and any radius
4. Postulate IV: All right angles are equal to one another.
5. Postulate V: If a line is drawn over two straight lines, then the two lines will intersect upon extending along the side where the interior angles formed in between the pair of lines and the line drawn over them are less than two right angles that are 180o. The angles A and B are less than 180o.

## Euclid’s axioms

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.

There are numerous other axioms present but these are the seven listed in NCERT Class 9 math Introduction to Euclidean Geometry.