Conjugation of isometries in Euclidean space

In the context of isometries in Euclidean space, conjugation refers to the operation that modifies an isometry by another isometry, often to understand how certain properties change under transformations. An isometry is a distance-preserving transformation, which can include translations, rotations, reflections, and glide reflections. In Euclidean space, we can represent isometries using linear transformations (matrices) and translations (vectors).