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Which one of the following is the BEST modern statement of why 'A point is that which has no part' is not used as a rigorous definition today?

Class 9Euclid's AxiomsGeometry — Foundations
  • AIt uses the undefined word 'part', so point is now taken as an undefined term
  • BIt is geometrically false
  • CPoints actually have two dimensions
  • DIt contradicts the parallel postulate

Step-by-Step Solution

Euclid's definition relies on undefined notions like 'part', leading to circularity. Modern geometry treats point, line and plane as undefined (primitive) terms.
Answer: A) It uses the undefined word 'part', so point is now taken as an undefined term

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