Which logical fallacy is used in the text?
Mom, of course you can trust me to stay home alone while you go out of town. I mean, did you raise a good kid, or one who can't be trusted?

 - appeal to nature: the assumption that natural things are always good
 - false dichotomy: an argument that presents only two choices when more options exist
 - slippery slope fallacy: the false assumption that a small first step will lead to extreme consequences
The text argues that the speaker's mom raised either a good child or one who can't be trusted. However, it's not a black-and-white situation. For instance, a good kid can still make mistakes. This illustrates a type of logical fallacy known as a false dichotomy.