A dilation is a function from a metric space into itself that satisfies the identity for all points, where is the distance from to and is some positive real number. In Euclidean space, such a dilation is a similarity of the space. Dilations always change the size but not the shape of object or figure.
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. ... A dilation stretches or shrinks the original figure. • A description of a dilation includes the scale factor (or ratio) and the center of the dilation
