Statements in plural forms are sometimes unclear.

Up to now I have no clear understanding about
singular/plural forms.

Please help me to make them clear.

Assume that I have a situation as follows.
There is a set of 5 objects, i.e., A, B, C, D and E.
Each object has an internal property
whose name is the same as the object name but prefixed by a backslash.

The internal property for the object A is \A.
The internal property for the object B is \B.
The internal property for the object C is \C.
The internal property for the object D is \D.
The internal property for the object E is \E.

Option 1.
The name(s) of internal properti(es) with which
the object(s) are associated are the same as the name(s) of object(s) prefixed by backslash(es).

Option 2.
The name of internal property with which
an object is associated is the same as the name of the object prefixed by a backslash.

Which one is formally correct and clear?

Thank you in advance.