Step 1: Understanding the Concept
Homologous organs have the same basic structure and embryonic origin but may perform different functions, as in the forelimbs of man, whale and bat.
Step 2: Homologous organs
Because they arise from a common ancestor and then adapt to different needs, they show divergent evolution.
Step 3: Analogous organs
Analogous organs have different structure and origin but perform the same function, like the wings of a bird and an insect. They show convergent evolution.
Step 4: Conclusion
Homologous organs lead to divergent evolution while analogous organs lead to convergent evolution.
Final Answer:
Homologous organs show divergent evolution and analogous organs show convergent evolution.
\[ \boxed{\text{(C) }\text{Homologous organs lead to divergent evolution while analogous organs lead to convergent evolution.}} \]