How does Congress check the power of the President?

Congress checks the power of the President primarily through the processes of impeachment and controlling the budget, making the combined option of both actions a correct answer.

Impeachment serves as a direct check on presidential power, allowing Congress to remove a President from office if they commit "high crimes and misdemeanors." This provides a vital mechanism for accountability, ensuring that the President remains subject to the rule of law and can be held responsible for any abuses of power.

Additionally, Congress exercises significant control over the federal budget, which is critical because it determines how funds are allocated for various governmental functions and programs. The President may propose a budget, but Congress holds the ultimate authority to approve or deny it. This power enables Congress to influence the administration's priorities and operations significantly, acting as a check on the President's ability to fulfill their agenda unilaterally.

While the other options involve aspects of government functions, they do not provide the same level of direct oversight or check on presidential power. For instance, executive orders are typically issued by the President to manage the operations of the federal government and do not constitute a check on presidential authority by Congress. Thus, the combination of impeachment and budgetary control reflects the intended balance of power between these branches of government.