In this diploma thesis, we discuss geometric transformations. Being such a broad concept, the focus is only on transformations in Euclidean geometry. Before considering transformations, we look at axioms of planar Euclidean geometry that are the basis for exploring transformations. Isometries represent a special type of transformations that are subject to special properties. Beside isometries, we consider two other types of transformations. These are dilations and inversions in circles. In conclusion, we look at the possibility of changing the foundations of Euclidean geometry with a transformational approach.
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