Introduction to Isometries in Space

This lecture introduces the concept of isometries in space, covering topics such as reflections, rotations, and axial reflections. It explains how to define a reference frame in space using three points and the different orientations that can arise. The lecture also explores the relationship between reflections and displacements, as well as the equivalent displacement to an axial reflection. Additionally, it delves into geometric constructions through distance inversion and the definition of symmetry centers. The content includes practical examples and exercises to deepen understanding.