The evolutionary precursor to feathers is believed to be structures known as "dino-fuzz" or proto-feathers, which were likely simple filaments or hair-like appendages found on the skin of some theropod dinosaurs. These structures may have originally served insulation, display, or other functions before evolving into more complex feather forms. The transition from these primitive structures to the sophisticated feathers seen in modern birds illustrates an example of evolutionary adaptation and diversification.
hominids
Hominids
reptiles
After Darwin, Linnaeus progressed the evolutionary thought.
The feathers helped retain body heat.
Hominids
They are thought to have separate paths of evolutionary development.
lobe-finned fish
lobe-finned fish
lobe-finned fish
Exaptation. The shift in the purpose of a trait during its evolutionary history. Recent findings on feathers rather well support feathers as exaptions. They originally evolved, so we think, as insulation and then later they became useful for flight.
None, cats have fur. Cats are mammals. Mammals have fur, that's it. If you really thought cats had feathers, you obviously don't know you fur.