fly the coop vs head for the hills

fly the coop and head for the hills both are verbs.

Word	Noun	Adjective	Verb	Adverb
fly the coop	No	No	Yes	No
head for the hills	No	No	Yes	No

As verbs, fly the coop and head for the hills are synonyms defined as:

fly the coop and head for the hills: flee; take to one's heels; cut and run

Other synonyms of fly the coop include break away, bunk, escape, hightail it, lam, run, run away, scarper, scat, take to the woods, turn tail.

fly the coop (verb)	head for the hills (verb)
flee; take to one's heels; cut and run	flee; take to one's heels; cut and run