Question

I have a new pet cat.it is transitive or intransitive?

Answer 1

I think
intransitive

Answer 2

A transitive verb has two characteristics. First, it is an actionverb, expressing a doable activity like kick, want, paint, write, eat, clean, etc. Second, it must have a direct object, something or someone who receives the action of verb
by the 2nd rule it is a transitive sentence