Geometric Transformations of the Plane
The words geometric transformation, if taken out of context, mean neither more nor less than a function that maps one set of geometric objects on another. However, those transformtaions that are worth studying have special properties, for example, like forming a group, preserving distances or angles. Various geometries can be defined as a study of invariants under specific groups of (geometric) transformations. Geometric transformations also provide powerful tools for solving geometric problems.
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