Good morning and thank you for contacting Ask Extension. 

Yes, sorry to say that is poison ivy!
Usually it comes down to pulling it out manually or hiring a crew to do it. Depending on how extensive the infestation is you could always look into renting goats. Yes, it sounds a bit far-fetched, but there are companies out there that specialize in this very thing!
Manual methods:
- removing by hand - make sure you wear protective clothing. I personally wear clothes that I am not planning on using again - after I am done everything goes into the trash since I am highly allergic to urushiol (the irritating oil that causes the rash.)
- smothering - you would need to cut the vines down as close to the ground as you can and then use cardboard or a tarp to smother the area and kill the plants. This can take a bit of time and again, the urushiol will get on the materials you are using so be prepared to dispose of them.
- you can also go the route of using herbicides, but remember, wherever you spray the herbicide you are going to kill all the other plants in that area. (I don't recommend this method but am providing it to be comprehensive.)
- Whatever you do - DO NOT BURN POISON IVY AND DO NOT COMPOST POISON IVY!!!!!
Burning poison ivy causes the urushiol to "aerosolize,"which means the heat cause the oil to vaporize into smoke and ash which can cause a severe allergic reaction which will most likely require emergency medical treatment!

Composting it does not work because the urushiol is persistent and does not break down so you would be running the risk of coming in contact with the urushiol when you use the compost or contaminating the tools that you are using when working with the compost.

If it is an extensive infestation my recommendation is to hire a professional landscaper to remove it thus removing the risk of coming in contact with the plant altogether.

Best of luck and best regards,

J.W. Wistermayer
UD NCC Master Gardener