---
tag: 0ZG1PNEP35
kind: concept
name: Homothety
aliases: [dilation, central-similarity]
msc: [51N10]
sources:
  - url: https://en.wikipedia.org/wiki/Homothety
    locator: lead section
same_as:
  wikidata: Q583960
  wikipedia: Homothety
---

## Summary

A homothety is a transformation that scales the space by a fixed factor from a fixed point, its centre. It sends each figure to a figure of the same shape.