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Anything that has to do with another country is going to be "Foreign" because well that's a headline happening overseas. Domestic has to do with headlines around the country on US soil. With that information, filling out the why's will be a lot easier, so I hope this helps :)

Explanation:

#1 is about South Korean military so that is not American, it is foreign

#2 is about a US Election meaning it's in the United States, so it is Domestic

#3 a missing plane in Ohio, United States, this is in a state, so it's domestic

#4 about Turkish President's praises, not American, nor towards the US, foreign.

#5 about Syria, and their water crises, not America's. it is foreign

#6 about a boy in the US being surprised, this is domestic as it's in the USA.

#7 Chinese fog alerts, not the United States, it is foreign.

#8 about the US Supreme Court decision, it takes place in the USA so it is domestic.

#9 Chinese freight train to London, neither place is in the USA so it would be foreign.

#10 Female Iraqi Journalists, not American, nor in America, making this also Foreign.

#11 Russia and Crimea war aren't in the US so it would be foreign as well.

it is relaxation hope this