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# Point (geometry)

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A point is a precise 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). 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)
• 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