Question

which of the following was a result of the us war with mexico?
the us took over mexican land south of the rio grande
the us lost more troops than mexico
the us gained about 1/3 of its territory that initially belonged to mexico
mexico became a colony of the us
question 7
what is the formal withdrawal of a state from the union?
nullification
secession
popular sovereignty
annexation
question 8
what is the right of residents of a territory to vote for or against slavery?
nullification
secession
popular sovereignty
annexation

Explanation:

Question (about US - Mexico War)

• For "The US took over Mexican land south of the Rio Grande": The US gained land north of the Rio Grande (Texas - related), so this is wrong.
• For "The US lost more troops than Mexico": The US had better military success and didn't lose more troops, so this is wrong.
• For "The US gained about 1/3 of its territory that initially belonged to Mexico": After the Mexican - American War, via the Treaty of Guadalupe Hidalgo, the US gained a large amount of Mexican territory (about a third of its current territory from Mexico), so this is correct.
• For "Mexico became a colony of the US": Mexico remained an independent nation, so this is wrong.

• Nullification: Is about a state declaring a federal law null and void, not withdrawal from the Union.
• Secession: By definition, is the formal withdrawal of a state from the Union (as seen in the Civil War with Southern states).
• Popular sovereignty: Is about residents voting on issues like slavery, not secession.
• Annexation: Is adding territory to a country, not withdrawing from a union.

• Nullification: Deals with states nullifying federal laws, not slavery - related voting.
• Secession: Is state withdrawal from the Union, not slavery voting.
• Popular sovereignty: Is the concept that residents of a territory vote for or against slavery (e.g., in Kansas - Nebraska Act context).
• Annexation: Is adding territory, not slavery - related voting.

Answer:

The US gained about 1/3 of its territory that initially belonged to Mexico

Question 7