What is the definition of dilation?

Dilation is the enlarging or shrinking of a mathematical element (a point on a coordinate grid, polygon, line segment) using a specific scale factor. Dilation is one of the five major transformations in geometry. Dilation does not change the shape of the object from preimage to image.

In mathematics, a dilation is a function f from a metric space M into itself that satisfies the identity d=rd for all points x, y \in M, where d is the distance from x to y and r is some positive real number. In Euclidean space, such a dilation is a similarity of the space

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