Points and Lines

Points, Lines, and Planes

There are two different ways that a point and a plane can interact.

I. A point can be contained on a plane.
If a point is contained on a plane then the line is formed entirely from points within the plane.
The point is a part of the plane.
In the figure below, the red line is contained in the light blue plane.

II. A point can reside off the plane.
The point and the plane are distinct.
The dark blue point resides off the plane.

Points and Planes

For a stereographic (or 3D) representation of the interaction of points and planes, click here.

There are three different ways that a line and a plane can interact.

I. A line can intersect a plane.
When a line intersects a plane it intersects in one and only one point.
In the figure below, the red line is intersecting the light blue plane.

II. A line can be parallel to a plane.
When a line and plane are parallel, they never meet.
They are also always the same distance from each other.
In the figure below, the blue line and the light blue plane are parallel.

III. A line can be contained in a plane.
If a line is contained on a plane then the line is formed entirely from points belonging to the plane.
The line is a part of the plane.
In the figure below, the yellow line is contained in the light blue plane.

For a stereographic (or 3D) representation of the interaction of lines and planes, click here.

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