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's model was a geocentric model (Earth - centered). Ptolemy's model was also a geocentric model. The first option is incorrect as neither Aristotle nor Ptolemy's model focused on planetary rotation on axes. The third option (epicycles) was a part of Ptolemy's model but not Aristotle's. The fourth option is a heliocentric (Sun - centered) concept which neither of them proposed.

Answer:

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