How Does Scaling Affect the Coordinates of a Rectangle in the Plane?

[Mr Davis 97]

This is a pretty simple question, I am just trying to clear up confusion. Let $D$ be the rectangle in the plane with vertices $(-1,0),(-1,1),(1,1),(1,0)$. Let $\lambda >0$. Then what exactly does the set $\lambda D$ look like? Is it correct to say that, for example, $2D$ is the rectangle with vertices $(-2,0),(-2,2),(2,2),(2,0)$?

 

[Mark44]

This is a pretty simple question, I am just trying to clear up confusion. Let $D$ be the rectangle in the plane with vertices $(-1,0),(-1,1),(1,1),(1,0)$. Let $\lambda >0$. Then what exactly does the set $\lambda D$ look like? Is it correct to say that, for example, $2D$ is the rectangle with vertices $(-2,0),(-2,2),(2,2),(2,0)$?

Your interpretation seems reasonable to me, although I've never run into any other situations where a set was multiplied by a number.

 

[member 587159]

Your interpretation seems reasonable to me, although I've never run into any other situations where a set was multiplied by a number.

The concept of cosets in group theory is the first thing that comes to mind.