vertex vs intersection point

vertex and intersection point both are nouns.

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

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

vertex: the point of intersection of lines or the point opposite the base of a figure
intersection point: a point where lines intersect

Other hypernyms of vertex include intersection, point of intersection.

vertex (noun)	intersection point (noun)
the point of intersection of lines or the point opposite the base of a figure	a point where lines intersect
the highest point (of something)