Question

What’s the difference between rigid transformations and non rigid transformations?

Answer 1

Rigid transformations maintain the shape and size of an object during movement, including rotations, reflections, and translations, while non-rigid transformations can change the object's size, such as scaling it up or down.

Step-by-step explanation:

Difference Between Rigid and Non-Rigid Transformations

The difference between rigid transformations and non-rigid transformations lies in whether the shape and size of an object are preserved during the movement. Rigid transformations include operations such as rotations, reflections, and translations. These operations change the position and orientation of an object but do not alter its shape or size.

On the other hand, non-rigid transformations, also known as similarity transformations or dilations, involve changing the size of an object along with its position. An example of non-rigid transformation would be scaling an object to make it larger or smaller while possibly also translating or rotating it.

When studying rotational motion in Physics, it's vital to differentiate these two because rigid transformations are closely related to the study of objects that rotate without deforming, maintaining the same dimensions, whereas non-rigid transformations involve a change in scale, which could be due to forces acting on a non-rigid, elastic object.

Answer 2

There are two different categories of transformations: The rigid transformation, which does not change the shape or size of the preimage. The non-rigid transformation, which will change the size but not the shape of the preimage.