Final answer:
Both the settlement of the Northwest Territory and the Louisiana Purchase involved systematic land distribution to promote agricultural development, with both ignoring Native American land rights, leading to conflicts and displacement.
Step-by-step explanation:
A specific historical similarity between the United States settlement of the Northwest Territory and the settlement of the land acquired through the Louisiana Purchase is the pattern of land distribution for the purpose of facilitating settlement and agricultural development. In the case of the Northwest Territory, the Land Ordinance of 1785 divided the area into townships and sections with one section set aside for schools, promoting a systematic approach to settlement. Similarly, following the Louisiana Purchase, there was a push for exploration, mapping, and eventual settlement along similar structured lines, appealing to the Jeffersonian vision of an agrarian society where land was made available for yeomen farmers. Both scenarios involved the appropriation and distribution of land, largely ignoring the rights of Native American inhabitants, leading to conflicts and displacement of native populations.