Question

Which statement is an axiom of Euclidean geometry? If two lines intersect, their intersection is a plane. If two planes intersect, their intersection is a point. Space contains at least three points that do not lie on the same line. If two points lie in a plane, the line containing those points lies in the same plane. Given any two points A and B, there are exactly two lines that contain those points

Answer 1

if 2 points lie in a plane, the line containing those opints lies in the same plane

Answer 2

The axiom is:

If two points lie in a plane, the line containing those points lies in the same plane.

Explanation:

Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these.

Euclid axioms seemed to be so true or obvious that any theorem proved from them was deemed true in an absolute.

The statement that is an axiom of Euclidean geometry is:

If two points lie in a plane, the line containing those points lies in the same plane.