From the VT Digest:
Ice Fishing: Ice fishing is fishing by means of hook and line
in hand or attached to a rod, tip-up, jack or bob, where the
angler is fishing through a hole in the ice, from the ice or on
an objectsupported by the ice. Fishing by casting or trolling
baited hooks, artificial flies or lures shall not be considered
ice fishing. A person may take fish only by using not more
than eight lines, except on Lake Champlain where no more
than fifteen lines. He or she must have immediate control
over all lines. Each line may not have more than two baited
hooks, or three artificial flies or two lures with or without
bait. Six lines are allowed on the Connecticut River.
There are a few exceptions, and you will have to check the digest for the water you will be fishing...