vertex vs extreme point

vertex and extreme point both are nouns.

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

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

Other hypernyms of vertex include extreme, extremum.

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