What is Dilation (geometry)?
[[Image:Geom podobnost stejnolehlest.svg|thumb|right|334px|Two similar geometric figures related by a dilation, with the center of dilation at S.]] 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 [[Similarity (geometry)|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 (mathematics)|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. == References == * {{Citation | last=Pedoe | first = Dan | title = Geometry: A Comprehensive Course | year = 1988 | publisher = Dover Publications | place = New York | isbn = 0-486-65812-0 | page = 56-57}} * {{ citation | first1 = Bruce E. | last1 = Meserve | year =1955 | title = Fundamental Concepts of Geometry | chapter = Homothetic transformations | pages = 166–169 | publisher = Addison-Wesley }} == Other websites == * https://brilliant.org/wiki/euclidean-geometry-homothety/ [[Category:Geometry]]