show the door vs turn out

show the door and turn out both are verbs.

Word	Noun	Adjective	Verb	Adverb
show the door	No	No	Yes	No
turn out	No	No	Yes	No

As verbs, turn out is a hypernym of show the door; that is, turn out is a word with a broader meaning than show the door:

Other hypernyms of show the door include boot out, chuck out, eject, exclude, turf out.

show the door (verb)	turn out (verb)
ask to leave	get up and out of bed
	come, usually in answer to an invitation or summons
	put out or expel from a place
	cause to stop operating by disengaging a switch
	bring forth
	produce quickly or regularly, usually with machinery
	turn outward
	outfit or equip, as with accessories
	come and gather for a public event
	be shown or be found to be
	prove to be in the result or end
	result or end