My water pipes broke in the middle of the night. I turned off the water, and I tried to turn off my gas hot water heater, but I am not sure if I did it right, or if I needed to do that. I am concerned about whether I should turn off my furnace too?

Go down and turn the heater thermostat back to pilot. If you have a warm air furnace a broken water pipe shouldn't affect it. If you have steam or hot water heat click on back a and give more details. Getyourpipes repaired and wrap them in heat tape so it doesn't happen again. Good luck, tom