Class 9 Exam  >  Class 9 Notes  >  Mathematics (Maths) Class 9  >  Very Short Answer Type Questions- Introduction to Euclid’s Geometry

Class 9 Maths Question Answers - Euclids Geometry

Question 1. What is the Euclid’s second axiom?
Solution: The 2nd axiom is: “If equals be added to equals, the wholes are equal.”

Question 2. What is a theorem?
Solution: A mathematical statement whose truth has been logically established is called a theorem.

Question 3. What is the Euclid’s fifth postulate?
Solution: It states that: “If a straight line falling on two straight lines make 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 the side on which the sum of the angles is less than two right angles.”

Euclid`s fifth postulateEuclid's fifth postulate


Question 4. Is the following statement correct? “The axioms are Universal truths in all branches of Mathematics.”
Solution: Yes.

Question 5. Complete the following statement: The things which are double of the same thing are ....................... .

Solution: The things which are double of the same thing are equal.

Question 6. In how many chapters Euclid divided his famous treatise, “The Elements”?  
Solution: 13 Chapters.

Question 7. J, M and R are friends, J is of the same age as M. R is also of the same age as M.
Which Euclid’s axiom illustrates the relative age of J and R?
Solution: First Axiom.

Question 8. If a straight line falling on two straight lines makes the interior angles on the same side of it, whose sum is 120°, then on which side the two straight lines meet, if produced indefinitely?
Solution: They meet on the side on which the sum of angles is less than 120°.

Question 9. How many dimensions does a solid has?
Solution: A solid has 3 dimensions.

Question 10. How many dimensions does a surface has?
Solution: A surface has 2 dimensions.
 

Question 11. How many dimensions does a point has?
 Solution:
A point has zero (0) dimensions.
 

Question 12. Which of the following are the boundaries of a surface: lines; curves; surfaces?
Solution: The boundaries of a surface are curves.

Question 13. Johan is of the same age as Mohan. Raghu is also of the same age as Mohan. State Euclid’s axiom  that illustrate the relative ages of Johan and Raghu.
Solution: The first axiom explains the above statement.

Question 14. Which of the following is the 5th postulate of Euclid?
(i) The whole is greater than the part.
(ii) If a straight line falling on two straight lines make 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.
(iii)“all right angles are equal to one another.”
Solution: The option (ii) is the Euclid’s fifth postulate.

Question 15. Which of the following are assumed as axioms?
(i) Universal Truths in all branches of Mathematics.
(ii) Universal Truths specific to geometry.
(iii) Theorems
(iv) Definitions.
Solution: (i) The universal truths in all branches of Mathematics.

Question 16. Complete the following statement: Pythagoras was a student of ................................... .
Solution: Pythagoras was the student of ‘Thales’.

Question 17. What do we call a closed figure formed by three line segments
Solution: A triangle.

Question 18. What do we call a figure formed by two straight lines having a common point?
Solution: An angle.

Question 19. What is the minumum number of lines required to make a closed figure?
Solution: Three lines.

Question 20. How many straight lines can be drawn through two given points
Solution: Only one line.

The document Class 9 Maths Question Answers - Euclids Geometry is a part of the Class 9 Course Mathematics (Maths) Class 9.
All you need of Class 9 at this link: Class 9
44 videos|412 docs|55 tests

Top Courses for Class 9

FAQs on Class 9 Maths Question Answers - Euclids Geometry

1. What is Euclid's geometry?
Ans. Euclid's geometry refers to the mathematical principles and concepts developed by the ancient Greek mathematician Euclid. It consists of a collection of definitions, axioms, postulates, and theorems that form the foundation of plane geometry.
2. What is the importance of Euclid's geometry?
Ans. Euclid's geometry is of great importance as it provides a systematic and logical approach to understanding the properties and relationships of geometric figures. It serves as the basis for various branches of mathematics and has practical applications in fields such as architecture, engineering, and computer graphics.
3. What are the main components of Euclid's geometry?
Ans. Euclid's geometry is composed of several key components. These include definitions, which provide precise meanings for geometric terms; axioms, which are self-evident truths; postulates, which are assumptions about the behavior of geometric objects; and theorems, which are proven statements based on previously established truths.
4. Can you give an example of a theorem in Euclid's geometry?
Ans. One example of a theorem in Euclid's geometry is the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This theorem has numerous applications in various fields, including trigonometry and physics.
5. How is Euclid's geometry different from other geometries?
Ans. Euclid's geometry, also known as Euclidean geometry, is based on a set of five postulates that describe the behavior of points, lines, and planes. It assumes a flat, two-dimensional space and follows a logical and deductive approach. In contrast, other geometries, such as non-Euclidean geometry, involve different sets of postulates and may describe curved or higher-dimensional spaces.
44 videos|412 docs|55 tests
Download as PDF
Explore Courses for Class 9 exam

Top Courses for Class 9

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Class 9 Maths Question Answers - Euclids Geometry

,

ppt

,

Objective type Questions

,

Class 9 Maths Question Answers - Euclids Geometry

,

study material

,

MCQs

,

past year papers

,

Extra Questions

,

shortcuts and tricks

,

Free

,

video lectures

,

Sample Paper

,

Viva Questions

,

Important questions

,

pdf

,

Class 9 Maths Question Answers - Euclids Geometry

,

Previous Year Questions with Solutions

,

mock tests for examination

,

practice quizzes

,

Exam

,

Semester Notes

,

Summary

;