Are the limbs modified into wings of bats and the wings of birds examples of evolutionary analogy or homology? What about whale fins compared to fish fins?
Bat and bird wings have the similar function and the similar origin (they are modified limbs) so they are analogous and homologous organs. Whale fins are a modification of the posterior limbs whereas fish fins although having the similar function do not come from modified limbs; so they are analogous but not homologous structures.
Evolutionary homology suggests common ancestry whereas biological analogy relates to the method of evolutionary convergence, the appearance of same features in evolutionarily distant species that explore the similar type of environment (in the mentioned case, the aquatic habitat).