Direct Isometry

Direct Isometry

Geometric transformation in the plane that preserves orientation.

Translations, rotations and their compositions are direct isometries.


Reflections are not direct isometries; they are opposite isometries, also called flips.


  • a translation :
  • a rotation :ROTATION
  • the composition of a translation \(t\) and a rotation \(r\) with a centre O:

See also :

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