Let $P$ denote a complex number $Z=r\left(\cos \theta +i\sin \theta \right)$ on the Argand's plane and $Q$ denote a complex number $\sqrt{2{\left|Z\right|}^2}\left(\cos \left(\theta +\frac{\mathrm{\pi }}{4}\right)+i\sin \left(\theta +\frac{\mathrm{\pi }}{4}\right)\right)$. If $O$ is the origin, then $△OPQ$ is