if you go by usda guidelines, they are both vegetables. though they are considered starchy ones, so you should try and limit to one serving a day of the starchy kind [in other words, don't have beans and two potatoes and two servings of corn and try to call that your vegetables. you need some of the green leafies and other lower cal and starch veggies in there too].
Corn and Potatoes are starchy, yes, but they are also vegetables with good nutrients in them especially when you eat the skin on the potato as well. Just don't load them with butter or sauces, and with the potato, make it 1/4 of what is on your plate, along with 1/4 lean protein and the 1/2 that is left a rainbow of colour with veges. If you are Diabetic your Dietitian or Diabetes Nurse will advise you re carb consumption.
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