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# Point (geometry)

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A **point** is a position in space. Imagine touching a piece of paper with a sharp pencil or pen, without making any sideways movement. We know where the point is, but it has no size to speak of.

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). In geometry, points are always labelled by capital letters (A, B, C...X, Y, Z).

Mathematicians say **two points** can be:

- coincident = they are one and the same
- 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