Isometries: Reflection

régua e esquadro

In a reflection of a figure in relation to a line (with the name Axis of Reflection or Axis of Symmetry), an image is transformed into another equal figure, in which all its points are at the same distance from the axis of reflection as the original points. The segment formed by the original point and the transformed point is always perpendicular to the axis of symmetry.

Created with GeoGebra by Vitor Nunes


To score, move the three points to get a reflection of the image in red. The axis of symmetry is dashed.

Isometries of the plane

Bloco de notas

All plane isometric transformations can be expressed as compositions of a maximum of three mirror reflections. This fact allows the complete classification of plane isometries. Besides identical transformation, isometric transformations also include mirror reflection, translation, rotation around the center, and glide deflection.