The words "same" and "alike" are synonyms, meaning they have similar meanings. In the given list of words, all the other pairs are examples of words that are related but not necessarily the same. "Homeo" and "home" are not synonyms, "falling hair" and "sweet sugar" are not related concepts, and "tumor, cyst, hernia" are different types of medical conditions. Therefore, the correct answer is "same, alike."