Question

What are rigid motions?

Answer 1

Rigid motions, also known as rigid transformations, are transformations of an object that preserve its shape and size. These transformations include translations, rotations, and reflections. When an object undergoes a rigid motion, all points on the object move in the same way and maintain the same distance from each other. This means that the object's orientation and position may change, but its overall shape and size remain the same. Rigid motions are often used in geometry to describe how objects can be moved or transformed without changing their fundamental characteristics.