Metric Space Completeness is not Preserved by Homeomorphism

Theorem
Let $M_1 = \left({A_1, d_1}\right)$ and $M_2 = \left({A_2, d_2}\right)$ be metric spaces.

Let $\phi: M_1 \to M_2$ be a homeomorphism.

If $M_1$ is complete then it is not necessarily the case that so is $M_2$.