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 Description  
 Isometry:  A transformation that keeps the size and shape of geometric figures the same.
Examples of Isometries

In the word isometry, iso means same and metry means measure. In other words, isometries preserve lengths and shapes. Place a playing or baseball card on a flat surface (a plane). If you slide the card (translation) along the surface, flip the card over (reflection), or if you spin the card (rotation), the lengths of the sides of the card remain the same. So, translations, reflections and rotations are isometries.

Isometries are also called rigid motions.

Click on this link to take a look at transformations through wallpaper patterns.