Euclid's Definitions, Axioms and Postulates MCQs
Practice Euclid's Definitions, Axioms and Postulates multiple-choice questions from Introduction to Euclid's Geometry (Class 9 Maths) - tap an answer for instant feedback and a step-by-step solution. 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.
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