So if I have a question in a piece of dialogue, such as: "Is this all a game to you? Can I add 'she yelled at him.' to the end? Or does it have to be a new sentence, seeing as it's the entire sentence in the quotation marks? "Is this all a game to you?" she yelled at him. Or "Is this all a game to you?" Her face was inches from his as she yelled at him. Thanks!
You can do it either way. If you are describing the speech in a speech tag - she said, yelled, muttered, etc, then it is not a new sentence. If after the speech you move onto a new sentence, such as your second example then you are quite right that it is treated as a new sentence. Just to give an example with commas/full stops because questionmarks are the same whether it's a new sentence after or not so makes it confusing for most pieces of speech which aren't questions: "It is a game," he said. "It is a game." He turned away from her, and...