# Dilation (geometry) facts for kids

In geometry, **dilation** (also called **homothety** or **homothetic transformation**) is the process which changes the size of a figure without changing its shape, a type of transformation. Any figure and its image after dilation are similar to each other.

Dilation is defined by a point V, the center of dilation, and a number k, the ratio. Given a point P in the plane, its image P' (*P prime*) is on the line VP. The distance from P' to V is k times the distance from P to V.

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