Final answer:
In the news story, the two words that have almost the same meaning are 'illegal immigrant' and 'undocumented resident'.
Step-by-step explanation:
In the news story, the words that have almost the same meaning are 'illegal immigrant' and 'undocumented resident'. News organizations like the Los Angeles Times and the Associated Press have stopped using the term 'illegal immigrant' and instead use 'undocumented resident' to describe people living in a country without legal authorization. This change in word choice reflects a shift in emphasizing the humanity and dignity of individuals, rather than focusing solely on their legal status.