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

Content Curator

The NCERT Solutions for class 9 Maths Chapter 5 Introduction to Euclid's Geometry are provided in the article below. Euclidean geometry deals with points, lines, circles, curves, angles, planes, solids, etc.

Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry belong to Unit 4 Geometry which has a weightage of 27 marks in the Class 9 Maths Examination. Class 9 Mathematics Chapter 5 has the following important concepts:

Postulates of Euclid Geometry
Euclid’s Axioms
Non-Euclidean Geometry

Download: NCERT Solutions for Class 9 Mathematics Chapter 5 pdf

NCERT Solutions for Class 9 Maths Chapter 5

The Chapter 5 Class 9 Maths are given below:

Important Topics in Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry

Important Topics in Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry are elaborated below:

Postulates of Euclid Geometry

Euclid’s geometry is the study of shapes of geometrical figures and planes. Euclid’ geometry can be further classified into 5 postulates.

The five postulates are:

A straight line can be drawn from one point to another.
A terminated/closed line can be generated indefinitely.
A circle can be drawn with any center and radius.
All right angles are equal to each other.
If the interior angles formed when two straight lines fall on a third are less than two right angles on the same side, then the lines will intersect if extended far enough.

Euclid’s Axioms

Euclid's axioms are several assumptions of the obvious universal truths that have not yet been proven entirely.

One of the many Euclid’s axioms includes:

Euclid's axioms states that objects equal to the same thing are equal. For example, if p = q and q = r, we can say that p = r.

Non-Euclidean Geometry

Non-Euclidean geometry is a sub-discipline of geometry. The things that do not arrive within Euclidean geometry is referred to as non-Euclidean geometry.

Important Points of Non-Euclidean Geometry:

Non-Euclidean geometry is bsically the antonym of euclidean geometry.
Non-Euclidean geometry discusses about hyperbolic and spherical figures.
It is otherwise known as hyperbolic geometry.

NCERT Solutions for Class 9 Maths Chapter 5 Exercises:

The detailed solutions for all the NCERT Solutions for Introduction to Euclid’s Geometry under different exercises are:

Also Read:

Important Chapter Related Links
Introduction to Euclid’s Geometry MCQs	Euclid’s Division Lemma	Centroid of a Triangle

Also Read:

Math Study Guides
Maths Important Formulas	Maths MCQs	Comparison Articles in Maths
Difference Between Topics in Maths	Math Study Material	Algebra
Trigonometry	Number Systems	Mensuration
Math Formula	NCERT Solutions for Class 9 Maths	Geometry

CBSE X Related Questions

1.
Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.
View Solution
2.
PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA.
View Solution
3.
The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.
View Solution
4.
In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.
View Solution
5.
Assertion (A) : The system of linear equations $3x - 5y + 7 = 0$ and $-6x + 10y + 14 = 0$ is inconsistent.
Reason (R) : When two linear equations don't have unique solution, they always represent parallel lines.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- Assertion (A) is true, but Reason (R) is false.
- Assertion (A) is false, but Reason (R) is true.
View Solution
6.
A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.
View Solution

View All

Similar Mathematics Concepts

Introduction to Euclid's Geometry: Facts, Axioms and Postulates

Class-9 Maths: Chapter 5, Introduction to Euclid’s Geometry - MCQs

Introduction to Euclid's Geometry Important Questions

NCERT Solutions for Class 9 Maths Chapter 5 Exercise 5.1 Solutions

NCERT Solutions for Class 9 Maths Chapter 5 Exercise 5.2 Solutions

Mathematics Preparation Guides

Statistics: Mean, Median, Variance and Cumulative Frequency Curve

Remainder Theorem: Definition, Steps & Examples

Angle Formula: Definition, Different Types, Solved Example

Trapezoids: Isosceles, Scalene Properties, Area, Properties, Examples

Quadrilateral Angle Sum Property: Theorem, Types & Example

Frequency Polygons: Steps, Formula & Examples

Area of Parallelogram: How to Calculate Area of Parallelogram?

Congruence of Triangles: SSS, SAS, ASA & RHS Rules

Quadrilateral Formulas: Types and Properties

Properties of Triangle: Types, Formulas & Examples

Class 9 Maths MCQ: Chapter-wise with Solutions

Properties of Parallel Lines: Transitive & Symmetric Properties

Isosceles triangle: Types, Properties, Angles & Examples

Operations on Rational Numbers:Rules, Properties & Examples

Addition and Subtraction of Integers: Rules & Examples

Scalene Triangle: Types, Formulas, Properties & Examples

Quadrant: Types, Sign Convention & Examples

Rationalize the Denominator: Explanation and Solved Examples

Area of a Kite: Formula, Derivation & Examples

Volume of a Pyramid: Formula and Solved Example

Mathematics NCERT Solutions

Linear Equation in Two Variables: Graph, Elimination and Substitution

Types of Triangles: Important Terms, Scalene, Acute, and Obtuse Triangle

Formula Of Perimeter Shapes

Sphere Formula: Diameter, Surface Area and Volume

Ordinate: Abscissa, Plotting Ordinates, Relation, Solved Examples

Integers as Exponents: Explanation, Rules and Method of Solving

Central Tendency: Definition, Methods and Sample Questions

Line Segment: Definition, Measurement and Examples

Line, Line Segment and Ray: Differentiation and Sample Questions

Area of Equilateral Triangle, Perimeter & Altitude Formulas

You can also check

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

NCERT Solutions for Class 9 Maths Chapter 5