Question

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

Answer 1

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