Some of the choices you give make absolute no sense at all, but I will give you what are right:
A. Find freedom from religious persecution. - True
Many earlier and later groups of settlers that were from just about anywhere in Europe settled in the Americas in hope of being able to practice their own religions without the state church persecuting them. Examples of this can be found mostly within Catholic groups of the United Kingdom, as well as Protestant groups from most of mainland Europe. A very well-known example of a British group that settled in the Americas because of religious persecution was the Plymouth pilgrims, who settled in Plymouth Colony, Plymouth, Massachusetts.
B. opportunities to become wealthy. - Partly True.
Towards the beginning of the exploration west, the European countries were trying to find a direct sea route to China to establish trade and acquire riches and silk. However, they found their way to the Americas, and after foraging & exploration, they soon started to establish settlements around the coasts. First usually were small groups of private individuals or people sent from companies, followed by religious groups, prisoners from over crowded prisons back in Europe, and any people who wanted to try to find a new way of life. The choice of opportunities to become wealthy, is only one of many categorical reasons that people moved to the americas.
Choices which are questionable:
D. forge new terrain
This choice makes absolutely no sense. 1) If they mean it literally, a person cannot "just" create terrain out of nothing. 2) If they meant forage new terrain, then yes, that occurred, but that was not the reason Britain moved to the North Americas, not until they discovered that the southern part of present-day US was suitable for farming tobacco & cotton, which was in high demand later on.
E. beat out front for worldwide combination
This choice makes absolutely no sense either. What does it mean by "front" & "worldwide combination"? If they meant that they were trying to become a world-wide power, then this is true. Each European country was trying to expand their sphere of influence to find new resources, people groups to help not only in manufacturing, but also to supplement in their armies, and of course, tax money. Britain themselves expanded in a way to ease population tension from the land not being able to support all of them, as well as find resources and explore the outside world.
Why it's not:
C. encounter the native population
This choice is false, because in the beginning of exploration, many did not know whether or not there were people, or if there was the Native Americans. In fact, Columbus, an early explorer, believed that it was India (hence the name Indians), which may have prompted English settlers who came later to also believe they were in Asia. Encounters with the native population was usually stressful, to say the least, because of the culture and many other differences that separate both groups. Britain did not "specifically go to search for Native American populations", instead, they went to go search for territory, treasure, and glory.
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