Abstract
The chapter presents some basic theory on the definition and properties of fundamental geometric transformations, which play an essential role for the proofs of theorems and for problem-solving. In particular, the following geometric transformations are discussed: translation, symmetry, homothety, inversion and the composition of two or more of these. Several challenging and instructive examples are presented with a step by step discussion of the corresponding transformation used.
Geometry is knowledge of the eternally existent.
Pythagoras (570 BC–495 BC)
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Louridas, S. E. (2000–2001). Euclide B’. Hellenic Mathematical Society (Vol. 34).
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Louridas, S.E., Rassias, M.T. (2013). Fundamentals on Geometric Transformations. In: Problem-Solving and Selected Topics in Euclidean Geometry. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7273-5_3
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DOI: https://doi.org/10.1007/978-1-4614-7273-5_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-7272-8
Online ISBN: 978-1-4614-7273-5
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