Final answer:
The fallacy being used in this statement is known as appeal to flattery. The speaker is using a compliment to manipulate someone into doing something.
Step-by-step explanation:
The fallacy being used in this statement is known as appeal to flattery. In this fallacy, the person is attempting to manipulate someone by complimenting them in order to get them to do something.
While it may seem like a genuine compliment, the real motive behind it is to manipulate the person into doing the dishes. This fallacy relies on the person's desire for validation and approval.
The speaker in this scenario is using the compliment of being understanding to create a sense of obligation and guilt, hoping the person will comply with their request.