Is rude and condescending behaviour to a parent typical of teenage girls?

ok I brought my daughter over to live with me and go to school. We are sending her to a really expensive college prep high school. She is required to keep her room tidy and do well in school, that is all. She has many friends and clothes and is living an american princess life. She gets mad if I try to help her with her homework, is impatient and rude with me over minor things, acting like I am impossibly stupid, cuts me off midsentence, and is just rude. I have told her she is not allowed to treat anyone in this house like that, I didn’t want to have a contentious relationship with her. What could be going on? Is this a sign of depression or something?