Final answer:
The US government hoped to encourage the Five Tribes to assimilate, which is the process of becoming part of another culture. This was achieved through policies such as sending Native American children to boarding schools and confining tribes to reservations.
Step-by-step explanation:
The process that the US government hoped to encourage the Five Tribes to undergo is assimilation, which is the process of becoming part of another culture. In order to assimilate the tribes, the government implemented policies such as forcibly sending Native American children to boarding schools where they were forced to abandon their traditional cultures and speak English. Additionally, the tribes were confined to reservations and became dependent on the Bureau of Indian Affairs for support.