# Point (geometry)

A **point** is a position in space which has no size, but which does have position.

In geometry, a point has no size, but has a position. This means it has no volume, area or length. We usually represent a point by a small cross 'X' or by a small **dot** (a small, round shape). Points are always labelled by capital letters (A, B, C...X, Y, Z).^{[1]}^{[2]} It is one of the most fundamental but undefined terms in geometry.^{[3]}

In general, **two points** can be:

- Coincident (they are one and the same)
^{[source?]} - Not coincident (they are not one and the same)

and are always:

- Coplanar (on the same plane)
- Colinear (on the same line)
- Concyclic (on the same circle)

**Three points** can be:

- Colinear
- Coincident
- Not coincident
- Not colinear

and are always:

- Coplanar
- Concyclic

**Four points** can be:

- Coplanar
- Colinear
- Coincident
- Not coincident
- Not colinear
- Not coplanar

## Point (geometry) Media

A finite set of points (in red) in the Euclidean plane.

## Related pages

## References

- ↑ "List of Geometry and Trigonometry Symbols".
*Math Vault*. 2020-04-17. Retrieved 2020-09-24. - ↑ "Point - math word definition - Math Open Reference".
*www.mathopenref.com*. Retrieved 2020-09-24. - ↑ "Points, Lines, and Planes".
*www.cliffsnotes.com*. Retrieved 2020-09-24.