mahati

1. (to someone) to wave
   Deca su nam mahala sa prozora. — The kids were waving to us from the window.
   Zašto mi stalno mašeš? — Why do you keep waving at me?
2. (of a tail, wings) to wag; to flap
   Pas maše repom kad me vidi. — The dog wags its tail when it sees me.
   Ptica je brzo mahala krilima. — The bird was flapping its wings quickly.
3. (+ instr.) to brandish; to wave around
   Mahao je papirima i vikao na sve. — He was waving papers around and shouting at everyone.

The person waved to is in the dative (mahati nekome), the thing waved in the instrumental (mahati rukom).