Final answer:
Cutting is a propagation technique where roots are encouraged to form on a part of a plant after it is detached from the parent plant, allowing identical genetic copies of the parent to be produced.
Step-by-step explanation:
The type of propagation where roots are induced to form on a plant part after it is detached from the parent plant is known as cutting. This method involves taking a portion of the stem that contains nodes and internodes and placing it into moist soil or even water, where it is encouraged to root. This vegetative form of asexual reproduction is particularly effective for plants that do not breed true from seed, allowing the perpetuation of desirable traits. Specifically, in cuttings, the parenchyma cells in the plant tissues dedifferentiate, becoming capable of division and producing a new stem or root system genetically identical to the parent plant.
Examples include plants like coleus and money plants, which can easily be propagated in this manner. Layering is a method of propagation where roots are induced to form on a plant part after it is detached from the parent plant. In layering, a stem attached to the plant is bent and covered with soil, allowing the stem to develop roots and form a new plant. This technique is commonly used for plants like jasmine and bougainvillea.