contention vs rivalry

contention and rivalry both are nouns.

Word	Noun	Adjective	Verb	Adverb
contention	Yes	No	No	No
rivalry	Yes	No	No	No

As nouns, contention and rivalry are synonyms defined as:

Other synonyms of contention include competition.

contention (noun)	rivalry (noun)
the act of competing as for profit or a prize	the act of competing as for profit or a prize
a contentious speech act; a dispute where there is strong disagreement
a point asserted as part of an argument