The Argand-Gauss plane

A complex number $z=a+ib$ is represented geometrically as the point $(a;b)$ of the Cartesian plane, called in this context the Argand-Gauss plane. The $x$ axis becomes the real axis, the $y$ axis the imaginary axis.

The number $z=a+ib$ as a point of the plane: modulus $|z|=\rho$, argument $\theta$, and the conjugate $\bar z$ symmetric with respect to the real axis.

The conjugate $\bar z$ corresponds to the point symmetric with respect to the real axis. The modulus $|z|$ is the distance from the origin.

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Topics: Complex numbers
Concepts: Conjugate · Modulus · Argand-Gauss plane
Skills: Interpret a graph
People: Argand · Carl Friedrich Gauss