A transformation that shifts a figure in a given direction (translation vector) and over a given distance (length of the vector).

A geometric transformation that maps every segment PQ to a segment P’Q’ such that the segment PP’ is parallel to the segment QQ’ and the segment PQ is parallel to the segment P’Q’.

Translation t qui applique A sur B

Translations may be used to create frieze and tessellation.


The invariants under a translation of the plane are the following:

  • the lines that map the translation
  • the parallelism of the segments in the figures and of the lines in the plane;

Translations also preserve:

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