Nathalie,
Consider the verbs luegen (to lie) and anluegen (to lie to).
Either one can be used to ask the following question:
1. Warum hast du (zu) deinem Vater gelogen? (Why have you lied to your father?)
2. Warum hast du dienen Vater angelogen? (Why have you lied to your father?)
In sentence 1, "zu" is dative, so what follows is in the dative case.
In sentence 2, the verb is "have lied to". Does this make "vater" accusative? (A sentence can contain a direct object only. If there is a an indirect object in the sentence, it must be accompanied by a direct object. An exception is if the verb is a "dative" verb. Luegen and Anluegen are not dative verbs.)
Which sentence would be more commonly heard?
Scott