The two correct answers regarding which statements about the geocentric model are false are:
-
It shows the Sun at the center of the solar system.
(This statement is false because the geocentric model places Earth at the center, not the Sun.) -
It explains why Mars appears to move backward for a few months approximately every two years.
(This statement is also false, as the geocentric model does not adequately explain the retrograde motion of Mars; that explanation comes from the heliocentric model.)
The other statements are true in the context of the geocentric model.