Final answer:
The correct categories of epithelial tissue membranes are synovial, mucous, and serous membranes, which include the connective tissue-based synovial membranes for joints, and epithelial tissue-based mucous and serous membranes for lining body cavities and the skin.
Step-by-step explanation:
The explanation for this is that the body consists of various types of tissues that form membranes, each with its specific functions. Synovial membranes are a type of connective tissue membrane that line the cavities of freely movable joints, such as the shoulder, elbow, and knee, and are responsible for producing synovial fluid, a natural lubricant for the joints.
Epithelial membranes are composed of epithelial tissue attached to a layer of connective tissue and include three types: the mucous membranes (or mucosae), which line body cavities and hollow passageways that open to the external environment such as the digestive and respiratory tracts; the serous membranes, which secrete a lubricating fluid and line the closed cavities of the body; and the cutaneous membrane, commonly known as the skin, which is a stratified squamous epithelial membrane resting on top of connective tissue, protecting the body from various external factors.