What type of metamorphosis do cockroaches and termites undergo?

The correct choice is that cockroaches and termites undergo incomplete metamorphosis. Incomplete metamorphosis, also known as hemimetabolism, involves three life stages: egg, nymph, and adult. Unlike complete metamorphosis, which includes a distinct larval stage, insects that undergo incomplete metamorphosis develop from nymphs that resemble miniature adults and gradually grow and change into their adult form.

In the case of cockroaches and termites, the nymphs hatch from eggs and go through several molts as they mature, gradually taking on adult characteristics. This gradual transition is characteristic of the lifecycle of these insects, distinguishing them clearly from insects that undergo complete metamorphosis, like butterflies or beetles, which have a pupal stage where they dramatically change form.