Introduction to Euclid's Geometry · Class 9 · CBSE Mathematics
Which of the following statements is a definition according to Euclid's elements rather than an axiom or postulate?
Practice question from Introduction to Euclid's Geometry (Class 9 · CBSE Mathematics), with the correct answer and a step-by-step solution.
medium · MCQ · Q-3E9433
Which of the following statements is a definition according to Euclid's elements rather than an axiom or postulate?
- A.A point is that which has no part.Correct answer
- B.Things which are equal to the same thing are equal to one another.
- C.If equals be added to equals, the wholes are equal.
- D.All right angles are equal to one another.
Solution
Euclid defined basic geometric objects like points, lines, and surfaces at the very beginning. Option A is a definition, option B and C are axioms (common notions), and option D is a postulate.
More from Introduction to Euclid's Geometry
- How many lines can pass through a single given point?
- Given two distinct points in a plane, how many straight lines can be drawn passing through both points?
- If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles…
- Which of the following is a 'Common Notion' (Axiom) given by Euclid?
Practise more Mathematics
Sign up free for adaptive practice on this chapter, with instant feedback and hints on every question.
Start practising freeFree to start · No credit card needed