Final answer:
When addressing a justice of the peace, the correct term of address is 'Your Honor.' This honors the position and authority they hold within the judiciary.
Step-by-step explanation:
In addressing a justice of the peace in a formal courtroom setting, the correct term of address is Your Honor. This form of address is a way to show respect to the position and the authority that the justice represents within the judiciary system. Options A, Your Greatness, and D, Your Worthiness, are not traditionally used in legal settings. Option B, Your Worship, is more commonly used in some Commonwealth countries for addressing certain types of judges or mayors, but not typically for justices of the peace in the United States.