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Identical drawings are superimposable because they represent the same molecule. Both drawings have the exact same IUPAC name, including the same stereodescriptors (e.g., R/S, cis/trans).
Enantiomers are nonsuperimposable mirror images — but how do we recognize a pair of enantiomers when we see them? First of all, only a chiral molecule has an enantiomer. If a molecule has an internal plane of symmetry, then it is achiral and does NOT have an enantiomer.
When comparing enantiomers, you will find that they have opposite R/S configurations for ALL chiral centers. So if the first drawing represents a chiral molecule, there are two simple ways to identify its enantiomer: the second drawing must be the enantiomer if you see a mirror-image relationship, or if you determine that they have opposite configuration(s). The only difference between enantiomers is their 3D shape, so they have the exact same IUPAC name, but with opposite configurations of their chiral centers (R/S).
Diastereomers are stereoisomers that are not enantiomers, so they do NOT have a mirror-image relationship. If the molecule in the first drawing has multiple chiral centers, and some — but not all — of the configurations have been changed (inverted) in the second drawing, then the two drawings represent diastereomers.
If the only difference between two compounds is that one is cis and the other is trans, then they are diastereomers. Like all stereoisomers, diastereomers have the same IUPAC name but with different stereodescriptors (e.g., R/S, cis/trans).
Constitutional isomers have the same molecular formula but different connectivity. As such, they do NOT have the same IUPAC names. They can look wildly different, with different functional groups — their only relationship is having the same number of C, H, N, O… atoms.
For the number of hydrogen atoms to match, both compounds must have the same HDI (degrees of unsaturation). Rather than counting the number of H's, you can count up the number of rings and pi bonds in each compound. If the degrees of unsaturation don't match, then the two compounds can't have the same molecular formula and they are not constitutional isomers.
Unrelated compounds do not have the same molecular formula.
Work through these steps when you're comparing two drawings.