Euclid's Definitions, Axioms and PostulatesPractice Questions & MCQs
Practice Euclid's Definitions, Axioms and Postulates questions from Introduction to Euclid's Geometry (Class 9 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Euclid's Definitions, Axioms and PostulatesQuiz - Solve & Score
Q1. Consider the following statements about Euclid's system: (I) An axiom is assumed without proof. (II) A theorem requires a proof. (III) A postulate must be proved before use. Which of the above statement(s) is/are correct?
- A.Only I and II
- B.None of these
- C.Only I
- D.Only III
Answer: A. Only I and II
Q2. Which of the following is assumed WITHOUT proof in Euclid's geometry?
- A.A postulate
- B.A theorem
- C.A corollary
- D.A converse
Answer: A. A postulate
Eliminate first - option B) 'A theorem' fails since Theorems require proof; option C) 'A corollary' misses the point - A corollary follows from a proved theorem; option D) 'A converse' fails since A converse is itself a statement to be proved. That leaves only option A). Confirm with the chapter rule: Postulates (and axioms) are assumed without proof (math, chapter 'Introduction to Euclid's Geometry'). Answer: A) A postulate.
Q3. How many postulates did Euclid state?
- A.5
- B.7
- C.13
- D.3
Answer: A. 5
NCERT fact (math, chapter 'Introduction to Euclid's Geometry'): Euclid gave 5 postulates. Why option A fits - Correct. Distractor analysis: option B) '7' doesn't hold - Euclid stated 5 postulates (and several common notions); option C) '13' is wrong because 13 is the number of books in the Elements. Final answer - A) 5.
Master Euclid's Definitions, Axioms and Postulates on RankByte
Step-by-step solutions, mock tests, live ranks and streaks - free to start.
Get early accessEuclid's Definitions, Axioms and Postulates - Frequently asked questions
Where can I practise Euclid's Definitions, Axioms and Postulates questions for Class 9 Maths?
RankByte has Euclid's Definitions, Axioms and Postulates practice questions and MCQs from Introduction to Euclid's Geometry (Class 9 Maths), each with the correct answer and a step-by-step solution - free to start.
Are these Euclid's Definitions, Axioms and Postulates questions important for the exam?
Yes. These Euclid's Definitions, Axioms and Postulates important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.
Do the Euclid's Definitions, Axioms and Postulates questions come with answers and solutions?
Every Euclid's Definitions, Axioms and Postulates question on RankByte comes with the correct answer and a full step-by-step solution, so you learn the concept instead of just guessing.