Transformation geometry

Transformation geometry studies how shapes change position or size while maintaining their structure, using operations such as translation (sliding), rotation (turning), reflection (flipping), and dilation (resizing). These transformations help us understand the properties of figures in space, showing how they can be moved without distortion. They’re fundamental in fields like computer graphics, engineering, and design, providing a mathematical framework for manipulating objects systematically and predictably. Essentially, transformation geometry explores the ways objects can be repositioned or resized while preserving their essential shape and size characteristics.