“For every line x and for every point o not lying on x, there exists a unique line y passing through o and parallel to x.” This statement is __________(a) Pythagoras’ theorem(b) Heron’s theorem(c) Thales’ theorem(d) Playfair’s axiomThe question was posed to me in examination.The origin of the question is Equivalent Versions of Euclid’s Fifth Postulate topic in division Euclid’s Geometry of Mathematics – Class 9

“For every line x and for every point o not lying on x, there exists

1.	“For every line x and for every point o not lying on x, there exists a unique line y passing through o and parallel to x.” This statement is __________(a) Pythagoras’ theorem(b) Heron’s theorem(c) Thales’ theorem(d) Playfair’s axiomThe question was posed to me in examination.The origin of the question is Equivalent Versions of Euclid’s Fifth Postulate topic in division Euclid’s Geometry of Mathematics – Class 9
Answer» Right CHOICE is (d) Playfair’s axiom Best explanation: The given STATEMENT is Playfair’s axiom which is in fact, EQUIVALENT version of EUCLID’s FIFTH postulate. It can be understood by seeing the diagram given below. We can see that lines x and y are parallel, i.e. they will not intersect each other.

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