How to Say "to wave" in Spanish
The Spanish word for “to wave” is “agitar” — A2 level. This is a very common word in everyday Spanish.

Examples
Debes agitar la medicina antes de tomarla.
You must shake the medicine before taking it.
Los niños agitaron sus banderas durante el desfile.
The children waved their flags during the parade.
No agites la botella de refresco o explotará.
Don't shake the soda bottle or it will explode.
Shake vs. Wave
In English, we say 'shake hands' for a greeting, but in Spanish, 'agitar la mano' usually means waving 'hello' or 'goodbye.' To shake hands as a greeting, use 'dar la mano'.
Using it for Greetings
Mistake: “Agité su mano cuando lo vi.”
Correction: Le di la mano cuando lo vi (I shook his hand) OR Le agité la mano (I waved at him). 'Agitar' is the physical act of shaking something back and forth, not the formal greeting ritual.
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