Veggies for dogs?

My vet said to feed the overweight dog green beans and other veggies instead of a high fat treat. Also some fruit is ok - but not grapes. Dogs are omnivores like us and eat a variety of things. Here's an article, 'Ten Foods Your Dog Should Never Eat'- http://ezinearticles.com/?Ten-Foods-Your-Dog-Should-Never-Eat&id=473386

My friend has two little dogs that love carrots. She keeps bags of those baby carrots in her refrigerator and during the day at different times, she will say, "okay girls, would you like a carrot? They rush away from whatever they are doing and dash to the refrigeration just shaking all over from excitement waiting for her to open it and get them each a tiny carrot. They must be healthy because she has done this for a number of years and the dogs look great.