\begin{definition}[Definition:Complex Conjugate Coordinates]
Let $P$ be a point in the complex plane.
$P$ may be located using '''complex conjugate coordinates''' $\tuple {z, \overline z}$ based on:
{{begin-eqn}}
{{eqn | l = x
      | r = \dfrac {z + \overline z} 2
      | c = Sum of Complex Number with Conjugate
}}
{{eqn | l = y
      | r = \dfrac {z - \overline z} {2 i}
      | c = Difference of Complex Number with Conjugate
}}
{{end-eqn}}
where $P = \tuple {x, y}$ is expressed in Cartesian coordinates.
\end{definition}