Final answer:
Journee's brother used an Ad hominem fallacy by attacking her character instead of addressing her argument about washing the dishes.
Step-by-step explanation:
Journee's brother has used an Ad hominem fallacy in his argument. An Ad hominem fallacy occurs when someone attacks the person making an argument rather than the argument itself. Instead of addressing the fact that Journee had washed the dishes the last three nights, her brother attempts to discredit her by calling her a 'nerd with nothing better to do,' which has no relevance to the issue of doing the dishes.