Impertinent describes a way of speaking or an attitude that is rude, especially towards someone who should be treated with more respect.
Ex: I was embarrassed when my brother Gregory made an impertinent remark to his teacher about the amount of weight she had put on over the summer.
Ex: Mrs. Brocklehurst doesn't like the new friends that Harry made at school; they have a very impertinent way of speaking to her and her husband. For example, Joshua asked her, "Hey, when's dinner gonna be ready?"
Pertinent, however, does not mean respectful as you might expect. A pertinent comment is one that is related to what is being spoken about. If you make a pertinent comment, it is helpful to a conversation.
Ex: When we had a group discussion in our sociology class, the teacher instructed us to keep our comments pertinent to the subject matter, but Steve kept wanting to talk about sport!
Aggressive means wanting to confront, fight, or attack someone. Aggressive behavior can sometimes be violent. Aggressive speech can be forceful or "pushy".
Ex: The customer I had this morning spoke to me in a very aggressive way, threatening to get the boss to fire me if I didn't give him what he wanted.
Ex: The head teacher tried to cut down on aggressive speech in the school hallway. He made new rules saying that students were not allowed to make bullying or threatening comments.
Passive aggressive means expressing negative feelings in a passive, or not active, way. For instance, passive-aggressive children might stop doing their homework or tidying up their bedroom to show that they were upset, instead of arguing with their parents.
Ex: Penelope told me that she is getting tired of Benedict's passive¬-aggressive behavior. When he is very upset, he refuses to do any work around the house, and he won't talk about what is upsetting him.
Ex: Justin is having a difficult time dealing with his son's passive¬-aggressive behaviour. Ned refused to do his homework for two weeks because he was upset that he wasn't picked for the football team.