cut through vs cut across

cut through and cut across both are verbs.

Word	Noun	Adjective	Verb	Adverb
cut through	No	No	Yes	No
cut across	No	No	Yes	No

As verbs, cut through and cut across are synonyms defined as:

Other synonyms of cut through include cover, cross, get across, get over, pass over, track, traverse.

cut through (verb)	cut across (verb)
travel across or pass over	cut using a diagonal line
	travel across or pass over
	be contrary to ordinary procedure or limitations