Final answer:
The "Buk (Mask)" is associated with the Torres Strait, which is the region between northern Australia and Papua New Guinea. It is part of the Australasian region and represents the cultural heritage of the Torres Strait Islands' indigenous peoples.
Step-by-step explanation:
The geographic region associated with the "Buk (Mask)" from Mabuiag Island is the Torres Strait. The Torres Strait is the body of water that lies between the northern tip of Queensland in Australia and the southern parts of Papua New Guinea. It is part of the Australasian region, which includes Australia, Papua New Guinea, and neighboring islands in the Pacific Ocean.
The mask originates from a specific cultural context associated with indigenous peoples living in the Torres Strait Islands. The cultural heritage of these indigenous communities is a vital part of the social and artistic landscape of the region, with masks like the Buk being an important element of their rituals and traditions.