physiognomy vs countenance

physiognomy and countenance both are nouns.

Word	Noun	Adjective	Verb	Adverb
physiognomy	Yes	No	No	No
countenance	Yes	No	Yes	No

As nouns, physiognomy and countenance are synonyms defined as:

physiognomy and countenance: the human face (`kisser' and `smiler' and `mug' are informal terms for `face' and `phiz' is British)

Other synonyms of physiognomy include kisser, mug, phiz, smiler, visage.

physiognomy (noun)	countenance (noun)
the human face (`kisser' and `smiler' and `mug' are informal terms for `face' and `phiz' is British)	the appearance conveyed by a person's face
	the human face (`kisser' and `smiler' and `mug' are informal terms for `face' and `phiz' is British)
	formal and explicit approval

physiognomy (verb)	countenance (verb)
	consent to, give permission; permit