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## Is the transformation an isometric transformation?

An isometric transformation (or isometry) is a shape-preserving transformation (movement) in the plane or in space. The isometric transformations are **reflection, rotation and translation** and combinations of them such as the glide, which is the combination of a translation and a reflection.

## Which of the following transformations is not an isometric transformation?

**Dilation** changes the size of the shape making it a NON-ISOMETRIC transformation.

## Which of the following is not an isometric transformation of the pre image?

Therefore, translations, reflections, and rotations are isometric, but **dilations** are not because the image and preimage are similar figures, not congruent figures.

## Is a dilation an isometric transformation?

( Isometric means that the transformation doesn’t change the size or shape of the figure.) A fourth type of transformation, a dilation , **is not isometric**: it preserves the shape of the figure but not its size.

## What is the difference between an isometric transformation and a non-isometric transformation?

not preserve the distances and angles between a pre-image and its image. So, in a non- isometric transformation the image is **a different size or shape than its pre-image**. There are a lot more examples of non-isometric transformations but the above are the more recognizable examples.

## Are isometric transformations and rigid motions the same?

An ISOMETRIC TRANSFORMATION (RIGID MOTION) is a **transformation that preserves the distances and/or angles between the pre-image and image**. A NON-ISOMETRIC TRANSFORMATION (NON-RIGID MOTION) is a transformation that does not preserve the distances and angles between the pre-image and image.

## Are all squares isometric transformations?

Jeff claims that **all squares would** be isometric transformations because every square has four equal sides and four equal angles. An isometry is a transformation in the plane where the pre-image and image are identical. Isometries preserve the distances, angles, collinearity, and parallelism of the two shapes.

## What is an example of a non-isometric transformation?

2. Give an example of a non-isometric transformation and an isometric transformation. … **preserve Translation, rotation & reflection** are examples of isometric transformations stretch + dilation are examples of non-150 metrie transformations.

## Why is a dilation not an isometric transformation?

An isometry, such as a rotation, translation, or reflection, does not change the size or shape of the figure. A dilation is not an isometry **since it either shrinks or enlarges a figure**. … An isometry is a transformation where the original shape and new image are congruent.

## Which of the following properties is not preserved in an isometric transformation?

A transformation that preserves side lengths and angle measures. **Direction** isn’t preserved << translations, reflections, & rotation >> Also called an isometry. A transformation that results from two or more transformations.

## Which is an example of an isometric transformation?

A typical example of isometric transformation (transformation of congruence) is **the physical motion of a solid**, where the distance between any two of its points remains unchanged (congruent) and consequently, the whole solid itself remains unchanged.