A landlord should not be putting glasses which they treasure in their rented property in the first place.

I assume s/he has a deposit from you to cover breakages etc.?
I don't even know if these are expensive ones - I can't tell much from your pics. (Cut stuff is very difficult to photograph.)
There is a heck of a lot of stuff to trawl through on that site, but it is the best known one for this sort of problem.
If nothing else, you might be able to find the name of the pattern.
But if your landlord makes a fuss about it, they are being unreasonable. Accidents happen.