Final answer:
The correct answer is True; the French and Indian War contributed to an increased sense of common identity among the American colonists.
Step-by-step explanation:
The statement "An increasing sense of common identity among the colonists was one of the legacies of the French and Indian War" is found to be repeated in various sections of your material, suggesting that it is a key point under discussion. Based on the provided references, the correct answer to the question is True. The French and Indian War, which is part of the larger Seven Years' War, had significant effects on the American colonists, including the development of a sense of unity and shared identity against common challenges, especially those presented by the British and the war itself.