Question

which state invoked the nullification doctrine during this time period and why?
south carolina / fugitive slave act
missouri / compromise with maine
georgia / federal tariff laws
south carolina / federal tariff laws

Explanation:

The nullification doctrine was invoked by South Carolina in response to federal tariff laws. The federal tariffs were seen as harmful to Southern economies, so South Carolina (option with "South Carolina / Federal Tariff Laws") took this action, claiming states could nullify federal laws they deemed unconstitutional.

Answer:

The option with "South Carolina / Federal Tariff Laws" (the fourth option in the list, labeled "South Carolina / Federal Tariff Laws").