Are both Garafian Shepherd and Brazilian Terrier breeds of dog?
yes
Title: Old Jock
Passage: Old Jock (1859–1871), was a Fox Terrier famous during the late 19th and early 20th centuries.  A mostly white dog, he ran briefly with a hunting kennel before becoming a show dog, most notably with a victory at the show which popularised the Fox Terrier.  His main show rivalry was with a dog named Tartar, and along with a dog named Trap, the three were popular sires of the Fox Terrier breed.  He was also involved in the early formation of the Jack Russell Terrier and the Dandie Dinmont Terrier breeds.
Title: Terrier
Passage: A terrier is a dog of any one of many breeds or landraces of terrier type, which are typically small, wiry, very active and fearless dogs.  Terrier breeds vary greatly in size from just 2 lb to over 70 lb and are usually categorized by size or function.  There are five different groups with each group having several different breeds.
Title: Brazilian Terrier
Passage: The Brazilian Terrier, is a breed of dog developed in Brazil.  It is one of several terriers probably descended from the combining of the Fox Terrier with other small breeds.
Title: Airedale Terrier
Passage: The Airedale Terrier (often shortened to "Airedale"), also called Bingley Terrier and Waterside Terrier, is a dog breed of the terrier type that originated in the valley ("dale") of the River Aire, in the West Riding of Yorkshire, England.  It is traditionally called the "King of Terriers" because it is the largest of the terrier breeds.  The Airedale was bred from the Old English Black and Tan Terrier (now extinct), the Bull Terrier, the Otterhound and probably some other Terrier breeds, originally to serve as an all around working farm dog.  In Britain this breed has also been used as a war dog, guide dog and police dog.  In the United States, this breed has been used to hunt big game, upland birds, and water fowl, and serve in many other working capacities.
Title: Fox Terrier
Passage: Fox Terriers are two different breeds of the terrier dog type: the Smooth Fox Terrier and the Wire Fox Terrier.  Both of these breeds originated in the 19th century from a handful of dogs who are descended from earlier varieties of British terriers, and are related to other modern white terrier breeds.  In addition, a number of breeds have diverged from these two main types of fox terrier and have been recognised separately, including the Jack Russell Terrier, Miniature Fox Terrier and Rat Terrier.  The Wire and Smooth Fox Terriers share similar characteristics, the main differences being in the coat and markings.  They have been successful in conformation shows, more prominently in America than their homeland.
Title: Teddy Roosevelt Terrier
Passage: The Teddy Roosevelt Terrier is a small to medium-sized American hunting terrier.  Lower-set with shorter legs, more muscular, and heavier bone density than its cousin the American Rat Terrier.  There is much diversity in the history of the Teddy Roosevelt Terrier breed and it shares a common early history with the American Rat Terrier, Fox Paulistinha and Tenterfield Terrier.  It is said the Rat Terrier background stems from the terriers or other dogs that were brought over by early English and other working class immigrants.  Since the breed was a farm, hunting and utility dog there was little to no planned breeding other than breeding dogs with agreeable traits to each other in order to produce the desired work ethic in the dog.  It is assumed that the Feist (dog), Bull Terrier, Smooth Fox Terrier, Manchester Terrier, Whippet, Italian Greyhound, the now extinct English White Terrier, Turnspit dog and or Wry Legged Terrier all share in the Teddy Roosevelt Terrier's ancestry.  These early Ratting Terriers were then most likely bred to the Beagle or Beagle cross bred dogs (for increased scenting ability) and other dogs.  Maximizing the influences from these various breeds provides the modern Teddy Roosevelt Terrier with a keen sense of awareness and prey drive, an acute sense of smell and a very high intellect.  Although they tend to be aloof with strangers they are devoted companion dogs with a strong desire to please and be near their owners side at all times.
Title: Irish Terrier
Passage: The Irish Terrier () is a dog breed from Ireland, one of many breeds of terrier.  The Irish Terrier is considered one of the oldest terrier breeds.  The Dublin dog show in 1873 was the first to provide a separate class for Irish Terriers.  By the 1880s, Irish Terriers were the fourth most popular breed in Ireland and Britain.
Title: Kerry Blue Terrier
Passage: The Kerry Blue Terrier (also known as the Irish Blue Terrier) () is a breed of dog.  Originally bred to control "vermin" including rats, rabbits, badgers, foxes, otters and hares, over time the Kerry became a general working dog used for a variety of jobs including herding cattle and sheep, and as a guard dog.  Today the Kerry has spread around the world as a companion and working dog.  Despite a Kerry Blue winning Crufts (the most important UK dog show) in 2000, it remains an "unfashionable" breed, and is distinctly uncommon; however, it not as threatened as some of the other terrier breeds such as Skye Terrier, Sealyham Terrier, and Dandie Dinmont Terrier.
Title: Garafian Shepherd
Passage: The Pastor garafiano (English for: Garafian Shepherd) is a breed of dog indigenous native of La Palma, Canary Islands.  The name receives of the north of the island, of the municipality of Garafía, being the place where the race was more common, although exemplars are found throughout the island.  The breed was officially recognized by the Real Sociedad Canina de España in 2003.
Title: Tibetan Terrier
Passage: The Tibetan Terrier is a medium-size breed of dog that originated in Tibet.  Despite its name, it is not a member of the terrier group.  The breed was given its English name by European travelers due to its resemblance to known terrier breeds.  The Tibetan name for the breed, Tsang Apso, roughly translates to "shaggy or bearded ("apso") dog, from the province of Tsang".  Some old travelers' accounts refer to the dog as Dokhi Apso or "outdoor" Apso, indicating a shaggy or bearded working dog which lives outdoors.
Garafian Shepherd Brazilian Terrier