# Are dilations rigid transformations?

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## Are dilations rigid or Nonrigid?

A dilation is a non-rigid transformation, which means that the original and the image are not congruent. They are, however, similar figures. To perform dilations, a scale factor and a center of dilation are needed.

## Why are dilations rigid transformations?

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. … Note: A dilation is NOT referred to as a rigid transformation (or isometry) because the image is NOT necessarily the same size as the pre-image (and rigid transformations preserve length).

## What type of transformation is a dilations?

A dilation is a type of transformation that enlarges or reduces a figure (called the preimage) to create a new figure (called the image). The scale factor, r, determines how much bigger or smaller the dilation image will be compared to the preimage.

## What are the four rigid transformations?

There are four types of rigid motions that we will consider: translation , rotation, reflection, and glide reflection. Translation: In a translation, everything is moved by the same amount and in the same direction.

## Why are dilations not considered 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 .

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## How are dilations different from rigid transformations?

Rigid motions are transformations that move an image, but do not change the size. The only transformation that is not a rigid motion is dilation. A dilation is a transformation that changes the size of a figure.

## Which transformations are non rigid transformations?

Translation and Reflection transformations are nonrigid transformations.

## Is dilation a congruence transformation?

It is clear that dilation is not a congruent transformation, because the size of the shape is changed.

## Do dilations preserve orientation?

DILATIONS: … ✓ Dilations multiply the distance from the point of projection (point of dilation) by the scale factor. ✓ Dilations are not isometric, and preserve orientation only if the scale factor is positive.