Final answer:
A gomphosis is a synarthrosis that binds the teeth to their bony sockets and is characterized by the immobility of the joint, making it a type of fibrous joint along with sutures and syndesmoses.
Step-by-step explanation:
The synarthrosis that binds the teeth to the bony sockets is a gomphosis. This type of joint is also known as a peg-and-socket joint and involves the anchoring of the root of a tooth into its bony socket within the maxillary bone or mandible bone of the skull. The tooth is connected to the socket by a fibrous connective tissue called the periodontal ligament, and because of the immobility of this joint, it is classified as synarthrosis. Other types of fibrous joints include sutures, which are found in the skull, and syndesmoses, such as the joint of the tibia and fibula in the ankle, which allow for more movement compared to sutures and gomphoses.