Question: Is the Irish Terrier and Chihuahua both dogs?

Context paragraphs:
Irish Terrier: 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.

Jerry of the Islands: Jerry of the Islands: A True Dog Story is a novel by American writer Jack London.  "Jerry of the Islands" was initially published in 1917 and is one of the last works by Jack London.  The novel is set on the island of Malaita, a part of the Solomon Islands archipelago, which in 1893 became a British protectorate.  The hero of the novel is Irish terrier Jerry, who was a brother of dog named Michael, about whom London wrote another novel—"Michael, Brother of Jerry".

Chihuahua (dog): The Chihuahua (Spanish: "chihuahueño" ) is the smallest breed of dog and is named after the state of Chihuahua in Mexico.  Chihuahuas come in a wide variety of colors, and two coat lengths.

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.

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.

Glen of Imaal Terrier: The Glen of Imaal Terrier () is a breed of dog of the terrier category and one of four Irish terrier breeds.  It is sometimes called the Irish Glen of Imaal Terrier or the Wicklow Terrier, and the name of the breed is often shortened by fanciers to just Glen.

Feist (dog): A Feist is a small hunting dog, descended from the terriers brought over to the United States by English miners and other working class immigrants.  These terriers probably included crosses between the Smooth Fox Terrier, the Manchester Terrier and the now extinct English White Terrier.  These dogs were used as ratters, and gambling on their prowess in killing rats was a favorite hobby of their owners.  Some of these dogs have been crossed with Whippets or Italian Greyhounds (for speed) and Beagles (for hunting ability) - extending the family to include a larger variety of purpose than the original ratter, or Rat Terrier.

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.

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.

Supporting paragraphs: Irish Terrier Chihuahua (dog)
Answer: dog breed