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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.