Homologus Traits

Cats and Humans do share a homologus trait. The cats front paw is similar to that of the human hand. The human hand shares the same amount of digits as the front paws of the cat. Although they both look similar in bone structure the paw and hand are used in different ways. The cat uses its phalanges primarily for walking where as a human uses its phalanges for climbing and grabbing. At the end of the phalanges the cat has claws and the human has nails. The claws and nails at the end of each of their phalanges are used in different ways. The claw which is used for self defense, hunting, and climbing has a different shape to that of a human nail. It is pointy and curved whereas the human nail is flat. The most common suited ancestor of these species is the placental mammal.
Analogous Traits

Cats and insects also share an analogous trait. Their appendages are used primarily for mobility. The legs of insects and cats have limbs and are able to move at the joints. Besides walking both insects and cats can use their legs for swimming and jumping. Most insects also have claws located somewhere on their appendages. You would have to go way back to try and find the most common ancestor of these two species. The closest ancestor to them would be the velvet worm and this trait would be present since the velvet worm is a worm with appendages.