shake hands vs greet

shake hands and greet both are verbs.

Word	Noun	Adjective	Verb	Adverb
shake hands	No	No	Yes	No
greet	No	No	Yes	No

As verbs, greet is a hypernym of shake hands; that is, greet is a word with a broader meaning than shake hands:

shake hands: take someone's hands and shake them as a gesture of greeting or congratulation
greet: express greetings upon meeting someone

Other hypernyms of shake hands include recognise, recognize.

shake hands (verb)	greet (verb)
take someone's hands and shake them as a gesture of greeting or congratulation	react to in a certain way
	express greetings upon meeting someone
	send greetings to
	be perceived by