greet vs shake hands

greet and shake hands both are verbs.

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

As verbs, shake hands is a hyponym of greet; that is, shake hands is a word with a more specific, narrower meaning than greet:

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

Other hyponyms of greet include bob, curtsy, salute, present, salute, salute, hail, herald, receive, welcome, say farewell, bid, wish.

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