# What stays the same when the transformation is rigid?

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## What happens after a rigid transformation?

Handout Geometry. A rigid transformation does not change the size or shape of an object. Measurements such as distance, angle measure, and area do not change when an object is moved with a rigid transformation. … An isometry, such as a rotation, translation, or reflection, does not change the size or shape of the figure.

## How do you know if a transformation is rigid?

A rigid transformation includes only rotation and translation. It does not include reflection, and it does not modify the size or shape of an input object.

## What are rigid transformations?

The rigid transformations include rotations, translations, reflections, or their combination. … Any object will keep the same shape and size after a proper rigid transformation. All rigid transformations are examples of affine transformations.

## What changes a rigid motion?

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. … Apostrophes are used to identify a point or shape which has been translated, reflected or rotated.

## Does the transformation appear to be a rigid transformation explain?

The transformation does not change the size or shape of the figure Therefore, the transformation appears to be a rigid motion. The transformation changes the shape of the figure. … The transformation changes the size of the figure. Therefore, the transformation does not appear to be a rigid motion.

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## What is a rigid matrix?

A matrix is rigid if its rank cannot be reduced significantly by changing a few of its entries. While most matrices are rigid with very strong parameters, the question of explicitly constructing a family of rigid matrices is wide open.