If two opposite vertices of a square are (3, 2) and (-1, -2), find the coordinates of the other two vertices.

$$\begin{gathered} \mathrm{Firstly} \mathrm{we} \mathrm{will} \mathrm{plot} \mathrm{the} \mathrm{points} \mathrm{A}\left(3,2\right) \mathrm{and} \mathrm{C}\left(-1,-2\right) \\ \mathrm{In} \mathrm{a} \mathrm{square} \mathrm{all} \mathrm{the} \mathrm{sides} \mathrm{are} \mathrm{of} \mathrm{equal} \mathrm{length}. \\ \mathrm{So}, \mathrm{the} \mathrm{other} \mathrm{two} \mathrm{vertices} \mathrm{are} \mathrm{B}\left(-1,2\right) \mathrm{and} \mathrm{D}\left(3,-2\right) \end{gathered}$$