What are dilations in geometry?

[vinithrakarunanidhi]

I’m trying to understand transformations. Can someone explain what dilations are and how they change the size of shapes?

 

[peterkavinsky]

In geometry, dilations are transformations that resize a shape larger or smaller while keeping its proportions and angles the same.

 

[shanewarne]

In geometry, a dilation is a transformation that changes the size of a figure but keeps its shape the same. It enlarges or reduces a figure using a scale factor and a center of dilation. Angles remain unchanged, but side lengths scale proportionally.