yes they are.
treaties
During the early 1800s Study Island:Native Americans were not allowed to become U.S. citizens.
They were not "Americans" in the political sense...meaning, they were not citizens of the country of the Unites States of America. They were "Americans" in the sense that they were native to the continent of North America, which at that time, most of which was not controlled by any government.
no
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Yes, if they are born in the US, they are US citizens.
They belong to their Sovreign Tribal nation, but are still US citizens.
1927
Native Americans
treaties
Made Native Americans citizens.
Yes, Native Americans are considered American citizens. They are citizens of the United States by birth or naturalization, just like any other person born in the country.
Native Americans could become U.S. citizens if they gave up affiliation with their tribe
Yes, Native Americans who are U.S. citizens and meet the voting requirements can vote in elections.
Americans
Native Americans could become U.S. citizens if they gave up affiliation with their tribe
If I have to choose one of those options, I would choose that the Native Americans were colonized by the United States. However, I would argue that while the US illegally confiscated the territory that Native Americans occupied, the Native Americans were rarely, if ever, colonized. The US did not want them as citizens and actively fought several wars and committed atrocities to force them off of land that the US government decided would be in its interest to control directly. Native Americans only became "integrated" into the US via the Reservation System, whereby Native Americans received US citizenship and lived on Reservations, but this is fundamentally different than colonization in Latin America, Africa, or Asia where the native populations were actively involved in the European-dominated society.