Homothety is a term used in mathematics to describe a transformation of an object that is scaled by a fixed factor around a given center point. Synonyms for homothety include dilation, similarity transformation, and scaling. Dilation refers to the process of expanding or reducing an object's size while maintaining its shape. Similarity transformation involves scaling an object while preserving its shape, orientation, and angles. Scaling refers to the process of changing the size of an object in a uniform manner. These synonyms are used interchangeably in the field of mathematics to describe mathematical concepts, equations, and formulas that involve transformations of geometric shapes.