Training a cat to jump through a hoop involves patience and positive reinforcement. Start by placing the hoop on the ground and encouraging your cat to walk through it, using a favorite treat as a lure. Each time they pass through the hoop, reward them with a treat. Gradually raise the hoop off the ground, using the treat to guide them. Keeping the training sessions short and enjoyable is important to maintain your cat's interest. Consistent practice and rewarding their success will gradually lead to your cat confidently jumping through the hoop.