Hi, and Welcome tot he G.
Best practice has the mat hinged to the mount, creating a "book", and the item being framed attached to the mount rather than the mat. Passive mounts are preferred because you make no attachment directly to the item, and corner mounts are but one example.
If these are ink-jet photo prints, the mounting technique is pretty much the same as any other paper-borne art. For full conservation and reversibility, Japanese paper hinges with inorganic starch pastes are the current go-to.
Pressure sensitive tapes are generally discouraged as they are not truly reversible and the adhesives used tend to degrade over time, but there are some that pass the PAT (Photo Activity Test). Neschen's Filmoplast P 90 is one of them. There are others. These would only be used on older photographs printed in a traditional manner when none of the passive techniques work..
There are other options, but initially you should be concerned with the value of the piece you are working with, and the ease of replacement. If those are not an issue, all options are on the table.