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Question
a rigid transformation can also be referred to as an isometric transformation. the prefix \iso-\ means \of the same\ and \-metric\ means \measure.\ how does the meaning of the word isometric relate to determining if an isometric transformation occurred?
The word "isometric" implies same - measure. In an isometric transformation, lengths, angles, and distances (measures) of the pre - image and image are the same. So, if measures are unchanged, an isometric transformation has occurred.
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If the lengths, angles, and distances of the pre - image and the image are the same, an isometric transformation has occurred because "isometric" means of the same measure.