An explanation of points, lines, and planes.
A postulate, or axiom, is an accepted statement of fact. It cannot be proved. This means that everyone believes it is true, but there is no way to prove it.
Through any two points there is exactly one line.
This means that if you have two points in space you can draw a line connecting them. There is no way to draw more than one line through them.
As you can see, there is only one possible way to draw a line in between the two points.
If any two lines intersect, they create exactly one point.
As you see below, line HI and line JK intersect in one and only one point.
If any two planes intersect, then they intersect in exactly one line.
Plane A and plane B are intersecting planes. They intersect at line KI.
Through any three noncollinear points, there is exactly one plane.
A, B, and C are noncollinear points, meaning that if you connected the dots, they would not make a straight line. Therefore, they form one plane.
More About Planes
- planes extend out forever and ever
when naming a plane, use at least 3 points given as vertices in the diagram, or use a point on the interior
More On Geometry