Based on your knowledge of Greek roots what word most likely means actions displaying a love for man?

The most likely word, based on Greek roots, is philanthropy.

* Philo- (φιλο-) means "love"

* -anthropy (-ανθρωπία) means "humanity" or "mankind"

Therefore, philanthropy literally means "love of mankind," and actions displaying this love would be described as acts of philanthropy.