engage vs rat

engage is not a noun while rat is a noun.

Word	Noun	Adjective	Verb	Adverb
engage	No	No	Yes	No
rat	Yes	No	Yes	No

As verbs, rat is a hyponym of engage; that is, rat is a word with a more specific, narrower meaning than engage:

Other hyponyms of engage include featherbed, fill, engage, ship, contract, sign, sign on, sign up, farm out, job, subcontract.

engage (noun)	rat (noun)
	any of various long-tailed rodents similar to but larger than a mouse
	a pad (usually made of hair) worn as part of a woman's coiffure
	a person who is deemed to be despicable or contemptible
	someone who works (or provides workers) during a strike
	one who reveals confidential information to the police or other authority

engage (verb)	rat (verb)
get caught	give away information about somebody
consume all of one's attention or time	catch rats, especially with dogs
give to in marriage	give (hair) the appearance of being fuller by using a rat
keep engaged	desert one's party or group of friends, for example, for one's personal advantage
engage for service under a term of contract	take the place of work of someone on strike
hire for work or assistance	employ scabs or strike breakers in
ask to represent; of legal counsel
engage or hire for work
carry out or participate in an activity; be involved in
carry on (wars, battles, or campaigns)