Question

Which statement is an example of an axiom?

A. Through any two points there exists one line.
B. If two lines intersect, then their intersection is a point.
C. A line contains at least two points.
D. The whole is greater than the part.
E. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Answer 1

A. Through any two points there exists one line.

Explanation:

A postulate or an axiom is a statement that is assumed true without proof. There is nothing you can prove wrong about it.

Picture 2 points on a drawing and join them. The only possible way to do so is by drawing a line, so this idea of "Through any two points there exists one line" cannot be proven wrong.