When a girl waves at you, it could mean a variety of things depending on the context and her intentions. It could be a friendly gesture to say hello, a sign of acknowledgement, or a way to get your attention. It's important to consider the relationship you have with the girl and the circumstances in which the wave occurred to better understand its meaning.
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It can mean a couple of things. It can mean they like you, at least as a friend. You should wave back and talk to them, but it can also mean they don't like you. For example, you look at them because they're pretty and then they wave at you to draw attention and get you to stop staring at them.
Well, it depends. If somebody waves at you, they might be saying hi, or if somebody waves at you in a flirty way, they could like you.