what additional safeguards were proposed by thomas jefferson and james madison in the virgina and kentucky resolutions, and what werethe implications of these resolutions with regard to the growth of the centeral government?

Without knowing the original safeguards to which you refer, we can't tell what "additional" safeguards you need.

The Virginia and Kentucky Resolutions were political statements adopted in response to the Alien and Sedition Acts of 1798, which aimed to empower the federal government to suppress dissent and limit freedom of speech. These resolutions were written respectively by James Madison (Virginia Resolution) and Thomas Jefferson (Kentucky Resolution).

The Virginia Resolution, drafted by Madison, argued for interposition, which means that a state has the power to intervene or interpose itself between the federal government and its citizens. It asserted that the federal government had only limited, delegated powers and that any unconstitutional exercise of power should be resisted by the states. This resolution proposed that states had the right to nullify unconstitutional federal laws within their respective borders.

The Kentucky Resolution, authored by Jefferson, put forward a similar argument, emphasizing the principle of nullification. It asserted that states had the authority to declare federal laws null and void if deemed unconstitutional. Furthermore, it argued that the "compact theory" supported the idea that the states, as creators of the Constitution, had the ultimate power to interpret its meaning.

The implications of these resolutions with regard to the growth of the central government were significant. They emphasized the idea of states' rights and the sovereignty of the states, which posed a challenge to an increasingly powerful federal government. By promoting the concepts of interposition and nullification, the resolutions provided a theoretical framework for states to resist what they perceived as unconstitutional acts by the federal government.

Although the resolutions did not achieve their intended goal of nullifying the Alien and Sedition Acts, they were foundational in shaping the concept of states' rights and the idea that state governments possessed the authority to challenge or nullify federal laws. These principles had a lasting impact on the political discourse surrounding the balance of power between the federal government and the states.