---
tag: 0JF0TVYGWT
kind: concept
name: Affine map
aliases: [affine-transformation]
msc: [51N10]
sources:
  - url: https://en.wikipedia.org/wiki/Affine_transformation
    locator: lead section
same_as:
  wikidata: Q382497
  wikipedia: Affine transformation
---

## Summary

An affine map is a map between [[affine spaces|09XNAPTJQ7]] that is a linear map followed by a translation. It sends lines to lines or points, and it keeps parallel lines parallel and ratios of lengths along a line.