Mahayana Buddhism encompasses Northern Buddhism (i.e. the dominant forms of Buddhism found in Tibet and Mongolia) and East Asian Buddhism (i.e. the dominant forms of Buddhism found in China, Korea and Japan) (Asian Philosophies, pp.139-40, 145-46).
The so-called, and I emphasize so-called, Hinayana Traditions encompass Southern Buddhism (i.e. the dominant forms of Buddhism in Sri Lanka, Burma, Thailand, and Cambodia) (Asian Philosophies, p.346). This form of Buddhism is, more often than not, referred to as Theravada Buddhism (‘Theravada’ literally means the ‘teachings of the Elders [Thera]’)