Question: Are both the Norfolk Terrier and Braque Saint-Germain considered dog breeds? 
Context: 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. The Braques français are hunting dogs, from a very old type of gun dog used for pointing the location of game birds for a hunter.  There are two breeds of Braque français, both from the south of France, the Braque français, type Gascogne (French Pointing Dog - Gascogne type, larger size) and the Braque français, type Pyrénées (French Pointing Dog - Pyrenean type, smaller size) They are popular hunting dogs in France, but are seldom seen elsewhere. The Braque Saint-Germain (FCI No. 115) (translated into English as the St. Germain Pointing Dog) is a medium-large breed of dog, a versatile hunter used for hunting as a gun dog and pointer as well as for hunting other small game.  "Braque" is a term meaning pointing dogs.  The breed was created around 1830 by crossing English and French pointing type dogs. 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. Tugou (土狗, pinyin: "tǔ gǒu"), literally means Native Dog in Mandarin Chinese, is the general name for several dog breeds originated from China and still abundantly exists across the country today.  Tugou includes the most popular Chinese dog breed - the Chinese Field Dog (, pinyin: "zhōng huá tián yuán quǎn"), Chinese Chongqing Dog, Xiasi Dog, and several other native dog breeds distributed across China.  They are roughly 45–50 cm tall at the shoulder. Vulnerable Native Breeds are a group of dog breeds originating in the United Kingdom and Ireland, and identified by The Kennel Club (KC) as having annual registration numbers of 300 puppies or fewer.  The need for such a list was first identified in June 2003, with research conducted by the KC to identify the extent of the vulnerability and viability of each breed.  It was a joint project, with the KC working with the British and Irish Native Breeds Trust, later to be known simply as the Native Dog Breeds Trust.  The breeds on the list have been promoted at events such as Discover Dogs and Crufts, and by asking that owners of these breeds mate their dogs rather than having them spayed. The Norfolk Terrier is a British breed of dog.  Prior to gaining recognition as an independent breed in 1964, it was a variety of the Norwich Terrier, distinguished from the "prick eared" Norwich by its "drop ears" (or folded ears).  Together, the Norfolk and Norwich Terriers are the smallest of the working terriers. Terrier Group is the name of a breed Group of dogs, used by kennel clubs to classify a defined collection of dog breeds.  In general, a "Terrier Group" includes one particular type of dog, the Terrier, although other types may be included in a kennel club's "Terrier Group".  Most major English-language kennel clubs include a "Terrier Group" although different kennel clubs may not include the same breeds in their "Terrier Group".  The international kennel club association, the Fédération Cynologique Internationale, includes Terriers in Group 3 "Terrier", which is then further broken down into four "Sections" based on the type of terrier and breed history. The Norwich Terrier is a breed of dog originating in the United Kingdom, and was bred to hunt small vermin or rodents.  With a friendly personality, Norwich Terriers are today mostly a companion dog breed.  One of the smallest terriers, these dogs are generally healthy, but are relatively rare, due in part to their low litter size and the common need for caesarian sections.  Their drop-eared variety is the Norfolk Terrier. 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.
Answer: yes