# What is a translation reflection and rotation?

## What is a translation reflection and rotation?

Translation is when we slide a figure in any direction. Reflection is when we flip a figure over a line. Rotation is when we rotate a figure a certain degree around a point. Dilation is when we enlarge or reduce a figure.

## What is the rule for glide reflection?

A glide reflection is a composition of transformations.In a glide reflection, a translation is first performed on the figure, then it is reflected over a line. Therefore, the only required information is the translation rule and a line to reflect over.

Is a glide reflection the same as a rotation?

A glide reflection can be seen as a limiting rotoreflection, where the rotation becomes a translation.

Is a glide reflection translation?

Glide reflection is the composition of translation and a reflection, where the translation is parallel to the line of reflection or reflection in line parallel to the direction of translation. A glide reflection is – commutative and have opposite isometry.

### Why are translations reflections and rotations called rigid transformations?

A translation (notation T a,b ) is a transformation which “slides” a figure a fixed distance in a given direction. In a translation, ALL of the points move the same distance in the same direction. A translation is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.

### Can a glide reflection have two translations?

The only way to get from the pre-image to the image is with a combination of one reflection and one translation. And because you can produce the translation part with two reflections, you can achieve a glide reflection with three reflections.

Is translation rigid or Nonrigid?

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.

What are the two transformations of a glide reflection?

In a way glide reflection is somewhat different from the other three, because it s not a simple tranformation. Iin fact it is a combination of two transformations: translation and reflection. A combination of two but used as a single combined transformation.

#### Can a glide reflection have two reflections?

How many reflections are in a glide reflection? And because you can produce the translation part with two reflections, you can achieve a glide reflection with three reflections. Some images are just one reflection away from their pre-images; other images (in translation and rotation problems) are two reflections away.

#### How is a reflection like a translation?

Reflection is flipping an object across a line without changing its size or shape. Rotation is rotating an object about a fixed point without changing its size or shape. Translation is sliding a figure in any direction without changing its size, shape or orientation.

What is the difference between reflection rotation and translation?

Reflection is flipping an object across a line without changing its size or shape. Rotation is rotating an object about a fixed point without changing its size or shape. Translation is sliding a figure in any direction without changing its size, shape or orientation.

What is the difference between a glide reflection and a translation?

The combination of a reflection in a line and a translation in a perpendicular direction is a reflection in a parallel line. However, a glide reflection cannot be reduced like that. Thus the effect of a reflection combined with any translation is a glide reflection, with as special case just a reflection.

## What is a glide reflection of the plane?

Definition: A glide reflectionof the plane is an isometry of the plane that is a composition TR, where R is reflection in a line m and T is translation by a vector v parallel to m. Propostion: If G is a glide reflection defined as TR above, then G^2 = the translation T^2.

## What is glide reflection isometry?

Glide reflection is another type of isometry. The definition of Glide Reflection is a transformation consisting of a translation followed by a reflection in a line parallel to the slide arrow.