Final answer:
The recognized ARBA pet breed of rabbit that is popular at shows and known for its small size is likely the Netherland Dwarf rabbit. Other small rabbit breeds include the Holland Lop and Mini Rex.
Step-by-step explanation:
The breed of rabbit that fits the given definition and is recognized by the ARBA as a popular pet breed at shows is likely the Netherland Dwarf rabbit. This breed is known for its small size, friendly nature, and show-quality characteristics. Other small breeds that are recognized by ARBA and popular at shows include the Holland Lop and the Mini Rex, but the Netherland Dwarf is particularly well-known for being a small, show-worthy pet rabbit.
When identifying rabbit breeds, it is essential to consider various factors such as size, fur type, ear shape, and behavior. The ARBA (American Rabbit Breeders Association) is a good resource to refer to for detailed information on recognized rabbit breeds, including those that are popular as pets and in shows.