Complex Modulus of Quotient of Complex Numbers

Theorem
Let $z_1, z_2 \in \C$ be complex numbers such that $z_2 \ne 0$.

Let $\cmod z$ denote the modulus of $z$.

Then:
 * $\cmod {\dfrac {z_1} {z_2} } = \dfrac {\cmod {z_1} } {\cmod {z_2} }$