Question

What is the other name of Euclid’s fifth postulate?

• A. Ptolemy's Axiom
• B. Playfair’s Axiom
• C. Euclid’s Division Lemma
• D. None of the above.

Answer 1

The correct option is B Playfair’s Axiom

Equivalent version of Euclid's fifth postulate is called Playfair's axiom.
" If there is a point P which is not lying on a given line l, then one and only one line could be drawn passing through P and parallel to l"
" If there is a point P which is not lying on a given line l, then one and only one line could be drawn passing through P and parallel to l"



This statement could also be stated as "Two distinct lines are either parllel or they are intersecting "