patrimony vs birthright

patrimony and birthright both are nouns.

Word	Noun	Adjective	Verb	Adverb
patrimony	Yes	No	No	No
birthright	Yes	No	No	No

As nouns, patrimony and birthright are synonyms defined as:

patrimony and birthright: an inheritance coming by right of birth (especially by primogeniture)

patrimony (noun)	birthright (noun)
an inheritance coming by right of birth (especially by primogeniture)	a right or privilege that you are entitled to at birth
a church endowment	an inheritance coming by right of birth (especially by primogeniture)