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Geometric Transformation ○꠹｜Definition｜1st｜20251119205401-00-⌔
Geometric transformation - Wikipedia
Geometric transformation
In mathematics, a geometric transformation is any bijection of a set to itself (or to another such set) with some salient geometrical underpinning, such as preserving distances, angles, or ratios (scale). More specifically, it is a function whose domain and range are sets of points – most often a real coordinate space, or – such that the function is bijective so that its inverse exists.1 The study of geometry may be approached by the study of these transformations, such as in transformation geometry.2
Printed 2026-06-28.
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Link to original Footnotes
Usiskin, Zalman; Peressini, Anthony L.; Marchisotto, Elena; Stanley, Dick (2003). Mathematics for High School Teachers: An Advanced Perspective. Pearson Education. p. 84. ISBN 0-13-044941-5. OCLC 50004269. ↩
Venema, Gerard A. (2006), Foundations of Geometry, Pearson Prentice Hall, p. 285, ISBN 9780131437005 ↩
Secondary
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