measure vs weigh

measure is a noun but weigh is not a noun.

Word	Noun	Adjective	Verb	Adverb
measure	Yes	No	Yes	No
weigh	No	No	Yes	No

As verbs, weigh is a hyponym of measure; that is, weigh is a word with a more specific, narrower meaning than measure:

Other hyponyms of measure include gauge, scale, meter, pace, step, clock, time, fathom, sound, titrate, plumb, librate.

As verbs, weigh is a hyponym of measure; that is, weigh is a word with a more specific, narrower meaning than measure:

Other hyponyms of measure include stand, endure, last, scale.

measure (noun)	weigh (noun)
how much there is or how many there are of something that you can quantify
the act or process of assigning numbers to phenomena according to a rule
any maneuver made as part of progress toward a goal
measuring instrument having a sequence of marks at regular intervals; used as a reference in making measurements
a container of some standard capacity that is used to obtain fixed amounts of a substance
musical notation for a repeating pattern of musical beats
(prosody) the accent in a metrical foot of verse
a statute in draft before it becomes law
a basis for comparison; a reference point against which other things can be evaluated

measure (verb)	weigh (verb)
express as a number or measure or quantity	show consideration for; take into account
determine the measurements of something or somebody, take measurements of	determine the weight of
evaluate or estimate the nature, quality, ability, extent, or significance of	have a certain weight
have certain dimensions	have weight; have import, carry weight
	to be oppressive or burdensome