About the Book: This book provides a comprehensive and synthetic treatment of plane isometries, similarities, and inversions, aimed at readers interested in studying, teaching, or applying these concepts. It offers new proofs and solutions to classical geometry problems and explores applications such as Steiner Chains and Points, which can be relevant in engineering. Rich in examples and exercises, the material is organized into general exercises, geometrical constructions, and geometrical loci, with longer problems suitable as mini-projects. The text serves as both a deep dive into classical geometry and a valuable resource for mathematics education.