Final Answer:
1) The Patriots were able to defeat Britain in the Revolutionary War because D) they had strong public support and knowledge of the local terrain.
2) The ideals of the American Revolution impacted France and Latin America by inspiring revolutionary movements, as seen in option C).
3) The positions of the Federalists and Democratic-Republicans were reflected in option A), where Federalists supported a strong federal government and close ties with Britain, while Democratic-Republicans advocated for states' rights and closer relations with France.
4) "Republican Motherhood" reinforced traditional gender roles but emphasized the importance of women's education and influence in shaping the next generation of citizens, aligning with option C).
Step-by-step explanation:
1) The Patriots' knowledge of local terrain and strong public support were critical factors in their ability to resist and defeat the British forces during the Revolutionary War. The familiarity with the landscape allowed for effective guerrilla warfare, while public support provided the necessary morale and resources.
2) The ideals of the American Revolution, including concepts of liberty and equality, inspired revolutionary movements in both France and Latin America. These movements sought to overthrow oppressive regimes and establish governments based on democratic principles.
3) Federalists and Democratic-Republicans held differing views on the role of the federal government and foreign relations, with Federalists favoring a strong central government and ties with Britain, while Democratic-Republicans advocated for states' rights and closer relations with France.
4) "Republican Motherhood" reinforced traditional gender roles but recognized the crucial role of women in shaping the values of the next generation. While it did not lead to a significant increase in women's political involvement, it emphasized the importance of education for women and their influence within the domestic sphere.