Transformation geometry is a subfield of mathematics that deals with the study of geometric transformations. This field deals with the study of the properties of objects that remain invariant under different transformations. Some synonyms for transformation geometry include transformational geometry, Euclidean geometry, and affine geometry. These synonyms describe the different aspects of transformation geometry. Transformational geometry is focused on the study of transformational operations such as reflection, rotation, translation, and glide reflection. Euclidean geometry is concerned with the study of geometric shapes in a 2D or 3D space. Affine geometry focuses on the study of geometric transformations that preserve collinearity and ratios of distances. These synonyms demonstrate the diverse aspects of transformation geometry.