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**Rigid motion**is otherwise known as a

**rigid transformation**and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-

**rigid motion**, like a dilation, where the size of the object can increase or decrease.

In this manner, how do you tell if a transformation is a rigid motion?

A **rigid motion** is a **transformation** (of the plane) that "preserves distance". In other words, **if** A is sent/mapped/transformed to A′ and B is sent to B′, then the distance between A and B (the length of segment AB) is the same as the distance between A′ and B′ (the length of segment A′B′).

People also ask, are all translations considered a rigid motion?

b) the relative position of the points stays the same. There are four types of **rigid motions** that we will **consider**: **translation** , rotation, reflection, and glide reflection. In a **translation**, everything is moved by the same amount and in the same direction. Every **translation** has a direction and a distance.

A **dilation** is not considered a **rigid motion** because it does not preserve the distance between points. Under a **dilation** where , and , , which means that must have a length greater or less than . In the diagram below, is the image of under a single transformation of the plane.