If the bar magnet on the left were broken in half, what statement correctly predicts how the two halves of the magnet would react to the magnet on the right?

There would be attraction and repulsion by the two halves on the magnet.

Explanation:

A magnet consists of aligned number of tiny magnets called magnetic domains. The alignment produce the north and south poles at the two ends of a solid magnet.

When a magnet is broken into two parts, each half forms a complete magnet on its own. The point where breakage occur would have opposite poles, and the magnetic moment of each piece is half the magnetic moment of the original bar magnet. Thus, each part has a tiny north and south pole.

So bringing each piece in the neighborhood of the magnet on the right would either attract or repel the magnet.