Which article describes the relationship between the states and the central government?

The correct choice is Article IV because this section of the United States Constitution explicitly outlines the relationships and interactions between states and the federal government. It includes important provisions such as the Full Faith and Credit Clause, which requires states to respect the public acts, records, and judicial proceedings of other states, and the Privileges and Immunities Clause, which ensures that citizens of one state are entitled to the same privileges and immunities when in other states.

In contrast, Article I primarily establishes the legislative branch, detailing the structure and powers of Congress. Article II focuses on the executive branch and the powers and responsibilities of the President. Article III addresses the judicial branch, including the establishment of the Supreme Court and other inferior courts. Therefore, while these articles provide essential frameworks for their respective branches of government, Article IV is specifically designed to delineate the relationship between states and the central government, making it the correct answer for this question.