Final answer:
Not all connective tissues contain elastic fibers; cartilage and bone, as forms of supportive tissue, illustrate this point which makes option A the false statement regarding connective tissue.
Step-by-step explanation:
Connective tissue has several characteristics that define it; however, not all connective tissues contain elastic fibers. Considering the different types of connective tissue, such as connective tissue proper, supportive tissue, and fluid tissue, it becomes clear that each has its unique set of properties. While the matrix is indeed produced by the cells within the tissue and connective tissue is usually vascularized, not every connective tissue contains elastic fibers. For instance, cartilage and bone are forms of supportive tissue that have very few, if any, elastic fibers. Therefore, the claim that all connective tissues contain elastic fibers is incorrect, making option A the untrue statement about connective tissue.