As cj2112 has previously said, your dad already knows. So you don't have to choose between telling the truth and continuing to trick you parents. Instead you have to choose between getting humiliated at school when your dad goes there, or keeping the issue confined at home.
Also:
By admitting the truth, you can still have some control over the flow of events, moreso than if you just react to events by waiting for your dad to have proof of your lies.
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