Can you help identify this house plant?

It looks like a large tropical philodendron. It might re-root. It probably should have been staked, because the stems are not very strong. In their natural habitat, they kind of climb a nearby tree to get the support they need.

It looks like it may belong to this plant family. link
You can try air layering to try to get a new plant to grow, or you can just hope over to a greenhouse and buy a new one. Its less work and would be healthier. It can grow indoors but it grows its best outdoors. It looks pretty bad so I don’t know if you can revive it to what it once was.

@Sunny2 thanks, it was climbing a structure on their wall for support.

@Pandora thanks for the advice, will pass it along. Unfortunately around here you can’t grow many plants outdoors (it’s -30 today).

Here in Hawaii, we call that a monstera. I’m sorry I don’t know any other name for it or its Latin name.

Monstera Deliciosa…...??

It is also known as a Swiss Cheese Plant or Split Leafed Philodendron.

Split-leaf philodendron, Swiss cheese plant, or windowleaf (Monstera deliciosa)
You can take cuttings or air layer it. The methods are described here:

http://www.gardeningknowhow.com/indoor/monstera-deliciosa-propagation.htm

@Hain_roo is right.