Question: Are Rafeiro do Alentejo and Kerry Blue Terrier both types of dogs?

Context paragraphs:
Fox Terrier: 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.

Kerry Blue Terrier: 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.

Paisley Terrier: The Paisley Terrier was a breed of terrier type dog that is now extinct.  Originating in Scotland, the Paisley Terrier was bred primarily as a pet and showdog version of the Skye Terrier, and was the progenitor of today's Yorkshire Terrier.  The breed was called the Paisley terrier since most of the dogs came from that location, but it was also called the Clydesdale Terrier, for another location in the Clyde Valley where the dogs were bred.

Terrier Group: 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.

Hunt terrier: Hunt Terrier (not "hunting terrier") refers to types of terrier dogs that were attached to British "hunts", horse-oriented social clubs devoted to chasing the red fox on horseback, following packs of hounds.  The hunt terrier was kept for a variety of reasons, such as rat control around stables and kennels, and to run with the hounds to flush the fox from small hiding places.  It might also be expected to flush foxes from underground dens ("going to earth" like a working terrier), or to act as a lurcher.  They tended to be white in colour so as to be more easily seen by the hunter, but they could be any colour.

Pit bull: Pit bull is the common name for a type of dog.  Formal breeds often considered in North America to be of the pit bull type include the American Pit Bull Terrier, American Staffordshire Terrier, American Bully, and Staffordshire Bull Terrier.  The American Bulldog is also sometimes included.  Many of these breeds were originally developed as fighting dogs from cross breeding bull-baiting dogs (used to hold the faces and heads of larger animals such as bulls) and terriers.  After the use of dogs in blood sports was banned, such dogs were used as catch dogs in the United States for semi-wild cattle and hogs, to hunt and drive livestock, and as family companions.  Despite dog fighting now being illegal in the United States, it still exists as an underground activity, and pit bulls are a common breed of choice.

Rafeiro do Alentejo: The Rafeiro do Alentejo or Alentejo Mastiff, also called the Portuguese Mastiff, is a large breed of dog that originated in Portugal.  The Rafeiro do Alentejo is of the livestock guardian dog type, and the name refers to its area of origin, Alentejo, in south-central Portugal.  Although the word "rafeiro" means "mongrel" in Portuguese, the Rafeiro do Alentejo is recognized as a breed by the Portuguese Caniculture Club and the Fédération Cynologique Internationale.

Torums Scarf Michael: Ch.  Torums Scarf Michael (aka Mick or Mike) (29 May 1996 – October 3, 2011) in Liverpool, England, is a Kerry Blue Terrier who is best known for being the 2000 Best in Show winner at Crufts, and 2003 Best in Show of the Westminster Kennel Club Dog Show.  He is the first dog to win the "Triple Crown" of dog shows, having also won the 2002 AKC/Eukanuba National Invitational Championship.

Teddy Roosevelt 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.

Russkiy Toy: The Russian Toy (also known as the Russian Toy Terrier, and in Russia as the Russkiy Toy, Toychik,Russian: Русский той, Тойчик ) is a very small breed of dog originally bred in Russia from the English Toy Terrier which is known today as the Manchester Terrier.  There are two types of coats in the breed: smooth coat and long coat.  The smooth-coated variety was previously known as the Russian Toy Terrier and long-coated as the Moscow Long Haired Toy Terrier.  Both were brought together under the same Russian Toy Terrier name in 1988 and the "Terrier" was dropped from the name when the breed was added in 2006 to the official list of breeds registered with the Fédération Cynologique Internationale and has been registered in the Foundation Stock Service of the American Kennel Club since 2008, allowed to compete in AKC companion events since 2010.  The first official breed standard of the two varieties was written in 1966 in Russia.

Supporting paragraphs: Rafeiro do Alentejo Kerry Blue Terrier
Answer: yes