crest vs peak

crest and peak both are nouns.

Word	Noun	Adjective	Verb	Adverb
crest	Yes	No	Yes	No
peak	Yes	No	Yes	No

As nouns, crest and peak are synonyms defined as:

crest and peak: the top or extreme point of something (usually a mountain or hill)

Other synonyms of crest include crown, summit, tip, top.

As verbs, peak is a hypernym of crest; that is, peak is a word with a broader meaning than crest:

Other hypernyms of crest include top out.

crest (noun)	peak (noun)
a showy growth of e.g. feathers or skin on the head of a bird or other animal	a brim that projects to the front to shade the eyes
(heraldry) in medieval times, an emblem used to decorate a helmet	the top or extreme point of something (usually a mountain or hill)
the center of a cambered road	the highest point (of something)
the top line of a hill, mountain, or wave	the most extreme possible amount or value
the top or extreme point of something (usually a mountain or hill)	a V shape
	the highest level or degree attainable; the highest stage of development
	the period of greatest prosperity or productivity

crest (verb)	peak (verb)
reach a high point	to reach the highest point; attain maximum intensity, activity
lie at the top of