Which of the following have a segmented body and do not possess wings?

The correct choice highlights both centipedes and millipedes, which are classified within the phylum Arthropoda, specifically in the class Myriapoda. Both of these organisms are characterized by having elongated, segmented bodies and a series of numerous legs, but neither of them possesses wings.

Centipedes typically have one pair of legs per body segment and are known for their predatory behavior, while millipedes have two pairs of legs per segment and are primarily detritivores, feeding on decaying organic matter. The absence of wings is a defining feature that aligns with both these organisms, distinguishing them from insects, which are winged arthropods.

Insects, on the other hand, typically possess wings at some stage in their life cycle, which sets them apart from centipedes and millipedes. Arachnids, while also having segmented bodies, differ significantly as they have eight legs and include organisms like spiders and scorpions, but they are not entirely relevant in the context of segmented bodies without wings as defined by the question.

Thus, selecting the combination of both centipedes and millipedes correctly reflects the key characteristics being evaluated.