The European groups that established settlements in the New World shared the following commonalities:
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Believed they were superior to Native Americans - Many European settlers viewed themselves as superior to the indigenous peoples they encountered, often justifying their actions through this belief.
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All claimed lands once occupied by Native Americans - The lands settled by Europeans were indeed occupied by Native Americans prior to European arrival, and these settlers claimed these lands for their own countries.
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Altered the land for their benefit - Europeans altered the landscape through activities such as agriculture, construction of settlements, and resource extraction to benefit their own needs and economies.
Therefore, the correct choices are 1, 2, and 3.
The option 4. they had great respect for the Native Americans is not commonly applicable, as many European settlers did not demonstrate great respect for Native Americans; instead, their interactions were often characterized by conflict, exploitation, and coercion.