Final answer:
Archaeopteryx had characteristics of both dinosaurs and birds, including teeth and a vertebrae-containing tail like dinosaurs, and feathers like birds. The correct options it shares with birds are feathers and a long tail with vertebrae.
Step-by-step explanation:
Archaeopteryx, a transition species from dinosaur to bird from the Jurassic period, exhibits characteristics of both groups. While some scientists debate its precise classification, the presence of dinosaur-like traits such as a jaw with teeth and a long bony tail with vertebrae are uncontested.
However, Archaeopteryx also had feathers modified for flight, a feature typical of birds. Consequently, the correct options regarding traits it shares with extant birds are feathers and a long tail with vertebrae. Archaeopteryx had two of the mentioned options, which are (a) teeth and (b) feathers. It had teeth similar to dinosaurs, and it also had flight feathers like modern birds.