Homeomorphic Metric Spaces are not necessarily Isometric

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

Let $M_1$ and $M_2$ be homeomorphic.

Then it is not necessarily the case that $M_1$ and $M_2$ are isometric.