Rigid transformations preserve an object's shape and size, exemplified by rotating a table, while non-rigid transformations change the object's shape, like stretching a rubber band. Not all objects can undergo rigid transformations, as demonstrated by materials that can be reshaped. Understanding these differences is important in geometry and visualizing how objects interact. ;
Rigid transformations maintain an object's shape and size, while non-rigid transformations alter them. For example, rotating a book on a table is a rigid transformation, whereas inflating a balloon represents a non-rigid transformation. Not all objects can be transformed rigidly, as some, like clay, can change shape significantly.
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