Final answer:
The cells that divide and give rise to new roots during vegetative propagation in plants are parenchyma cells.
Step-by-step explanation:
In plants, the cells that divide and give rise to new roots during vegetative propagation are called parenchyma cells. These cells have the ability to 'de-differentiate' and resume an embryonic condition, allowing them to divide and produce a variety of cell types. When a cutting of the stem is induced to grow, certain parenchyma cells are stimulated to start dividing and organize to form an apical meristem, from which new roots can develop.