Foxes are traditionally placed in the Family Canidae or dog-like animals. There are several different species of fox. None of them are cats, but they're also not "dogs" in the sense of our common household pets. They are their own category of animal, within the larger family of dog-like animals.
Although cheetahs are members of the cat family, they have dog-like non-retractable claws. This limits their tree-climbing ability but gives them a speed advantage when charging.Typically, a cheetah will start a charge 60m to 100m from an antelope and, within seconds, will be racing at full tilt.