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

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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:

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Maths Important Formulas	Maths MCQs	Comparison Articles in Maths
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CBSE X Related Questions

1.
For an acute angle \(\theta\), if \(\sin \theta = \frac{1}{9}\), then value of \(\frac{9 \csc \theta + 1}{9 \csc \theta - 1}\) is
- \(0\)
- \(\frac{80}{81}\)
- \(1\)
- \(\frac{82}{80}\)
View Solution
2.
Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is
- 34
- 43
- 38.5
- 41.5
View Solution
3.
If for a data, median is 5 and mode is 4, then mean is equal to :
- 7
- 11
- \(\frac{11}{2}\)
- \(\frac{14}{3}\)
View Solution
4.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.
- 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
5.
Which of the following graphs represents a polynomial with both zeroes being positive?
View Solution
6.
If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is
- \(4 \text{ cm}\)
- \(4\sqrt{2} \text{ cm}\)
- \(8 \text{ cm}\)
- \(2\sqrt{2} \text{ cm}\)
View Solution

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

NCERT Solutions for Class 9 Maths Chapter 5