To broil patties, place on broiler pan; broil 3 to 4 inches from heat for 10 to 12 minutes or until meat thermometer inserted in center of patties reads 160°F., turning once. During last 30 to 60 seconds of broiling time, place cheese on patties; broil until melted.
Use slices of any mild cheese that you might have on hand. Cheddar, mozzarella, colby or Monterey Jack would all be delicious on these burgers.
When burger patties are of uniform thickness, they will grill in the same amount of time. For uniform patties, use a patty-maker. Look for this inexpensive gadget at cookware stores.