Question

Which statement is NOT one of the axioms of Euclidean geometry? A. Given any two distinct points, there is exactly one line that contains them. B. Every plane contains at least three points that do not lie on the same line. C. If two points lie in a plane, the line containing these points also lies in the plane. D. If two planes intersect, their intersection is a point.

Answer 1

$\Large{\underline{\underline{\bf{ANSWER:-}}}}$

• (B) Every plane contains at least three points that do not lie on the same line. (✔)

More To Know!

✧ Axiom = The basic facts which are taken for granted, without proof, are called axioms.

$\Large{\underline{\underline{\bf{Some \:Axioms:-}}}}$

✬ Things which are equal to the same thing are equal to one another.

✬ If equals are added to equals, the wholes are equal.

✬ If equals are subtracted from equals, the remainders are equal.

✬ The whole is greater than a part.

✬ Things which are double if the same things are equal to one another.

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Answer 2

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option d is the correct The basic facts which are taken for granted, without proof, are called axioms.

✧GIVEN :-

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Which statement is NOT one of the axioms of Euclidean geometry? A. Given any two distinct points, there is exactly one line that contains them. B. Every plane contains at least three points that do not lie on the same line. C. If two points lie in a plane, the line containing these points also lies in the plane. D. If two planes intersect, their intersection is a point.

✧SOLUTION

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IS SHOWN IN THE PICTURE

✧WHAT IS AXIOM

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The basic facts which are taken for granted, without proof, are called axioms.