vertex vs extreme

vertex and extreme both are nouns.

Word	Noun	Adjective	Verb	Adverb
vertex	Yes	No	No	No
extreme	Yes	Yes	No	No

As nouns, extreme is a hypernym of vertex; that is, extreme is a word with a broader meaning than vertex:

Other hypernyms of vertex include extreme point, extremum.

vertex (noun)	extreme (noun)
the point of intersection of lines or the point opposite the base of a figure	the furthest or highest degree of something
the highest point (of something)	the point located farthest from the middle of something

vertex (adjective)	extreme (adjective)
	most distant in any direction
	far beyond a norm in quantity or amount or degree; to an utmost degree
	of the greatest possible degree or extent or intensity
	beyond a norm in views or actions