# Plane-coordinate isometries and uniform scaling

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Plane-coordinate isometries and uniform scaling](https://ocme.evemisslab.com/en/atlas/atlas-geometric-transformations/)

Translations, counterclockwise quarter-turn rotations about the origin, and specified line reflections are plane isometries; uniform scaling distinguishes zero, ±1, and other coefficients.

atlas-geometric-transformations · canonical_mko

[Plane-coordinate isometries and uniform scaling](https://ocme.evemisslab.com/en/mko/mko-geometric-transformations/)

## Prerequisite nodes


- [Function mapping](https://ocme.evemisslab.com/en/atlas/atlas-function-mapping/)
- [Coordinate plane](https://ocme.evemisslab.com/en/atlas/atlas-coordinate-plane/)
- [Euclidean distance in an equal-unit orthonormal frame](https://ocme.evemisslab.com/en/atlas/atlas-distance-formula/)
- [Labeled triangle similarity with a specified positive scale](https://ocme.evemisslab.com/en/atlas/atlas-similarity/)