Postulates and Theorems

Let us study about postulates and theorems,

A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven. Listed below are six postulates and the theorems that can be proven from these postulates.

* Postulate 1: A line contains at least two points.

* Postulate 2: A plane contains at least three noncollinear points.

* Postulate 3: Through any two points, there is exactly one line.

* Postulate 4: Through any three noncollinear points, there is exactly one plane.

* Postulate 5: If two points lie in a plane, then the line joining them lies in that plane.

* Postulate 6: If two planes intersect, then their intersection is a line.

* Theorem 1: If two lines intersect, then they intersect in exactly one point.

* Theorem 2: If a point lies outside a line, then exactly one plane contains both the line and the point.

* Theorem 3: If two lines intersect, then exactly one plane contains both lines.

I hope the above explanation was useful