In the given conversation, the correct participle to complete the statement is "dicho."
Here's why:
1. The question "¿Qué dices?" translates to "What do you say?" or "What are you saying?"
2. The response "No he dicho nada." translates to "I haven't said anything."
3. In this context, "dicho" is the past participle of the verb "decir" (to say) and is used to form the present perfect tense, indicating an action that was completed in the past.
Therefore, the correct answer to complete the statement is "dicho" as in "No he dicho nada." This structure forms the present perfect tense in Spanish.