You win a e-cookie!
The full explanation and the correct situation that always provides us an extradimensional aliens with a 'left' and 'right' standard as defined as "The handedness [clockwise or counterclockwise, aka, left/right] of the lightest particle released in a beta decay (an antineutrino).
So a alien made out of ordinary matter would be able to match our right and left with his right and left.
However. An alien made of antimatter somehow getting our radio message would have this all flipped, as he would have observed in his antimatter world the lightest particle spinning the other direction (as its a neutrino in an antimatter universe - remember, there is no real distinction between antimatter and matter, an alien in an antimatter universe to us would see our universe an antimatter universe). Thus, he would extend his left hand at the greeting. All the more reason to be careful of anyone who offers their other hand in greeting, it could be an alien from another dimension.
And as previously explained, an alien in another universe that was mirror imaged and both made of antimatter would extend their right hand... and you would still be destroyed should you touch it. However, we can be 75% sure at least that any extradimensional travelers we meet we meet and make contact with will give us some warning signs of their orgins just from a simple offer of handshake.