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Why is Playfair's axiom often preferred over Euclid's original statement of the fifth postulate in modern textbooks?

Class 9The Fifth PostulateGeometry — Foundations
  • AIt is simpler and easier to state and understand
  • BIt is longer and more detailed
  • CIt contradicts Euclid
  • DIt avoids the idea of parallel lines

Step-by-Step Solution

Playfair's version ('exactly one parallel through an external point') is shorter and more intuitive than Euclid's wording, so textbooks prefer it.
Answer: A) It is simpler and easier to state and understand

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