identical vs indistinguishable

identical and indistinguishable both are adjectives.

Word	Noun	Adjective	Verb	Adverb
identical	No	Yes	No	No
indistinguishable	No	Yes	No	No

As adjectives, identical and indistinguishable are synonyms defined as:

identical and indistinguishable: exactly alike; incapable of being perceived as different

identical (adjective)	indistinguishable (adjective)
(of twins) derived from a single egg or ovum	not capable of being distinguished or differentiated
coinciding exactly when superimposed	exactly alike; incapable of being perceived as different
having properties with uniform values along all axes
exactly alike; incapable of being perceived as different
being the exact same one; not any other: