I have studied that an isometry is a distance-preserving map between metric spaces and two metric spaces $X$ and $Y$ are called isometric if there is a bijective isometry from X to Y.
My questions are related with the understanding of isometric spaces, they are as follows:
Can we say that two isometric spaces are same? If no, in what context they differ? What are the common properties shared by two isometric spaces?
Intuitively what are isometric spaces?
If two spaces are isometric how to find out bijective distance preserving map between them?