Final answer:
Myofibroblasts are the connective tissue cells with properties of smooth muscle cells, containing myofilaments and aiding in wound healing through contraction.
Step-by-step explanation:
The connective tissue cell type that contains properties of smooth muscle cells is the myofibroblast. Myofibroblasts play a significant role in wound healing and are characterized by their ability to contract similar to smooth muscle cells. These cells contribute to the contraction and closure of wounds, and they are distinguished from fibroblasts by their inclusion of myofilaments, consisting of actin and myosin, which are typically found in smooth muscle cells.