A dilation is an isometry. True or False.

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A dilation is an isometry. True or False.


The statement given is false. Actually, a unitary dilation is an isometry. In general, this statement does not hold. Isometry is the transformation of an object that preserves the shape and size of the object. Only the oriesntaiton is changed. Since size is preserved, then dilation is not an isometry..

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