16 Interesting Facts About Rat Terriers By Allen Abby - The hairless Rat Terrier is now known as the American Hairless Terrier. The American Hairless Terrier comes in two sizes, miniature, and standard. A good family pet, Rat Terriers are amazingly perceptive and intuitively respond to your moods. They have a great desire to please, love praise, and will follow you around the house. Please follow and like us: