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![NCERT solutions for Mathematics [English] Class 9 chapter 5 - Introduction to Euclid's Geometry - Shaalaa.com](/images/mathematics-english-class-9_6:e75a1668572245b2974a4e6dc62140a3.jpg "NCERT solutions for Mathematics [English] Class 9 chapter 5 - Introduction to Euclid's Geometry")
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Solutions for Chapter 5: Introduction to Euclid's Geometry
Below listed, you can find solutions for Chapter 5 of CBSE NCERT for Mathematics [English] Class 9.
NCERT solutions for Mathematics [English] Class 9 5 Introduction to Euclid's Geometry EXERCISE 5.1 [Pages 67 - 68]
The following statement is true or false? Give reason for your answer.
Only one line can pass through a single point.
True
False
The following statement is true or false? Give reason for your answer.
There are an infinite number of lines which pass through two distinct points.
True
False
The following statement is true or false? Give reason for your answer.
A terminated line can be produced indefinitely on both the sides.
True
False
The following statement is true or false? Give reason for your answer.
If two circles are equal, then their radii are equal.
True
False
The following statement is true or false? Give reason for your answer.
In the following figure, if AB = PQ and PQ = XY, then AB = XY.
True
False
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
parallel lines
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
perpendicular lines
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
line segment
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
radius of a circle
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
square
Consider two ‘postulates’ given below:-
- Given any two distinct points A and B, there exists a third point C which is in between A and B.
- There exist at least three points that are not on the same line.
Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid’s postulates? Explain.
If a point C lies between two points A and B such that AC = BC, then prove that AC = `1/2` AB. Explain by drawing the figure.
If a point C lies between two points A and B such that AC = BC, point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point.
In the following figure, if AC = BD, then prove that AB = CD.
Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the question is not about the fifth postulate.)
Solutions for 5: Introduction to Euclid's Geometry
NCERT solutions for Mathematics [English] Class 9 chapter 5 - Introduction to Euclid's Geometry
Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 9 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Mathematics [English] Class 9 CBSE 5 (Introduction to Euclid's Geometry) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
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Concepts covered in Mathematics [English] Class 9 chapter 5 Introduction to Euclid's Geometry are Concept for Euclid’S Geometry, Euclid’S Definitions, Axioms and Postulates, Equivalent Versions of Euclid’S Fifth Postulate, Concept for Euclid’S Geometry, Euclid’S Definitions, Axioms and Postulates, Equivalent Versions of Euclid’S Fifth Postulate.
Using NCERT Mathematics [English] Class 9 solutions Introduction to Euclid's Geometry exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 9 students prefer NCERT Textbook Solutions to score more in exams.
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