Quick Answer: What is the difference between a rigid transformation and a dilation?

What is a rigid dilation?

A rigid transformation is a transformation that preserves the side lengths. … Rigid transformations include translations, rotations, and reflections. Non-rigid transformations include scaling/dilating.

Is a dilation a rigid transformation?

A dilation is a similarity transformation that changes the size but not the shape of a figure. Dilations are not rigid transformations because, while they preserve angles, they do not preserve lengths.

What is a rigid motion in a transformation?

Rigid Motion: Any way of moving all the points in the plane such that. a) the relative distance between points stays the same and. 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.

How do you explain rigid motions?

Rigid motion changes the location of a shape, or the direction it is facing, but does not change the size or shape of it. The three basic rigid motions are translation, reflection, and rotation. A pre-image describes a point or shape before it is moved.

What describes a rigid motion transformation?

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′).

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Why is dilation not a rigid motion?

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.

What is the difference between rigid and non rigid transformations give an example of each?

Whether that be translation, rotation, or reflection, you are not changing the shape’s original form in any way, you are just changing its position in space. Non-Rigid Transformations actually change the structure of our original object. For example, it can make our object bigger or smaller using scaling.