List the transformations that are rigid motions? Which are not?

We don't even get a menu? Man.

Transformations that are rigid motions are also called isometries. They preserve size and shape.

Rigid Motions:

Translation

Rotation

Reflection

There's often another one called a

Glide Reflection

which is a combination of translation and reflection.

Not Rigid Motions:

Dilation

Obviously dilations change the size. There are also transformations that distort the figure, for example scaling the coordinates differently. Let's call them:

Stretching

Shearing