Yes, cats are feline, dogs are canine, cattle are bovine and sheep ovine. These are the correct adjectives, however they are far from the only animals with taxonomic group designations.
sheep are of the ovine family.
No, cats are feline.
Human is to Feline, as Feline is to Kit. (In my eyes cats are like children <house hold> and Kits are Feline children)
Cats.
feline
Feline
Falconiforme.
Yes, because they are both part of the feline family. The only difference is that the leopard is pat of the feline category Panthera (roaring cats) and that the pet cat is part of the feline category Felis (small cats)
feline
Feline Leukemia.
Yes they are in fact all big cats are part of the feline family