You can find the [[../Math/Matrix]] to re align two [[Axis Aligned]] rectangles $A, B$ by finding the matrix that brings $A_{center} \to B_{center}$ >[!example] Rectangle $A \to B$. $\huge \begin{align} (7,8), (-21, 8), &(-21, -16), (7, -16) \\ &\to\\ (-13, 1), (15, -1), &(15, -19), (-13, -19) \end{align}$ $A_{center} = (-7, 4)$, $B_{center} = (1, -10)$ $T_{7,4}\cdot H_{-1, \frac{18}{24}}\cdot T_{7, 4}$ would be the matrix that would bring $A_{center}\to B_{center}$.