What Are Rigid Motions?

A square $S$ has opposite vertices at the points $A = (0, 0)$ and $B = (1, 1)$. We decide to transform the square so these two vertices are now at other points on the plane, which we call $A'$ and $B',$ respectively. Which of the following choices of $A'$ and $B'$ could be the result of $S$ undergoing a rigid motion?