Q1
Euclid's axioms are considered:
Aself-evident truths
Bunproven guesses
Calways false
Donly applicable to circles
CBSEClass 9 (CBSE)MathematicsCh 5 · Topic 1
Euclid's Definitions and Axioms
Learning the foundational definitions and axioms proposed by Euclid.
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One of Euclid's axioms states 'things which are equal to the same thing are equal to one another' (if a=c and b=c, then a=b), a principle used constantly, even outside geometry, in logical reasoning and everyday problem-solving. Euclid's systematic approach — building an entire system of geometry from clearly stated definitions and self-evident axioms — became the model for mathematical rigour used throughout mathematics ever since, influencing how proofs are structured even today.
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CBSE class 9 euclid's definitions and axioms
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• Euclid defined basic terms: a point has no part, a line is breadthless length.
• Axioms are self-evident truths accepted without proof.
• Euclid's axiom example: 'things equal to the same thing are equal to one another.'
• Euclid's systematic approach became the model for mathematical rigour in later centuries.