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Point (geometry) facts for kids

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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). It is one of the most fundamental but undefined terms in geometry.

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

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Point (geometry) Facts for Kids. Kiddle Encyclopedia.