According to Arizona State University, many types of insects undergo incomplete metamorphosis, including grasshoppers, cockroaches, termites, praying mantises, crickets and lice. In addition, insects identified as "true bugs," such as leafhoppers, aphids, cicadas, stink bugs, water bugs and bed bugs, go through this change.
Incomplete metamorphosis is characterized by three stages of life. An insects starts out as an egg. Once the egg hatches, a nymph appears that bears a close resemblance to the adult insect; however, the nymph's external covering, or exoskeleton, is very thin, and it typically does not have wings. As the nymph grows, it molts several times, shedding the too-small exoskeleton and growing a new one. This continues until it has developed into an adult insect.