If I understand the question correctly, there are three branches of Christianity: Catholic, Eastern Orthdox, and Protestant. Some may add a fourth beanch, Anglican, being that many see it as a "bridge" between (or merging of) Catholic and Protestant.
An organized branch of Christianity is called denomination.
No it is a branch of paganism
Mormon
Methodist is a branch of the Protestant religion. That is a branch of Christianity.
Protestantism
because
Catholic
It is the main branch of Christianity. Actually, Catholicism IS Christianity, the original Christian Church as established by Christ. Everything else is a branch or twig.
A branch of "Coptic Christianity" but it is now the Ethiopian Orthodox Tewahedo Church.
I believe all of them do.
Luthernism, which is a branch of Christianity.
Yes.