Question

how was aristotles model similar to ptolemys model?
both models stated that the planets rotate on their axes.
both models stated that earth is the center of the system around which other objects orbit.
both models stated that the planets and objects in the solar system have small orbits called epicycles.
both models stated that the sun is the center of the system around which objects have elliptical orbits.

Explanation:

Aristotle proposed a geocentric model where Earth is the center. Ptolemy also had a geocentric model. The key similarity is the central position of Earth. The first option about planetary rotation on axes - Aristotle and Ptolemy didn't focus on that. The third option about epicycles - that was more of a Ptolemaic refinement. The fourth option about the Sun as center - that's heliocentric (like Copernicus).

Answer:

Both models stated that Earth is the center of the system around which other objects orbit.