Practice30Create account

A student claims: 'Euclid's fifth postulate can be proved as a theorem using the first four postulates.'
Which response is mathematically correct?

Class 9Euclid's PostulatesGeometry — Foundations
  • ATrue; it was proved by Euclid himself
  • BFalse; it is independent of the first four and cannot be derived from them
  • CTrue; it follows from the third postulate
  • DFalse; it is actually a definition

Step-by-Step Solution

Centuries of attempts showed the fifth postulate is logically independent of the first four; it cannot be proved from them, which is why consistent non-Euclidean geometries exist.
Answer: B) False; it is independent of the first four and cannot be derived from them

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Euclid's Postulates practice questions

More Class 9 Euclid's Postulates practice

A transversal cuts two lines making co-interior angles x deg and (x + 30) deg. By…How many points are enough to fix (determine) a unique straight line?Which of these is NOT one of Euclid's five postulates?A 'terminated line' in Euclid's language means a:Euclid's second postulate allows a terminated line (segment) to be: