What Does It Mean for Christ to Call Peter Peter?

When peter declares christ to be the son of the living god, christ responds by giving a symmetrical statement. There is a symmetry between those two statements. Why is he called the rock? Why is he associated with this? Maybe we can look back at isaiah chapter 51, verse one two for some hint of what it could mean. In john the baptist's teaching in matthew, chapter three, we have already seen what might be an allusion back to this. Peter, like abraham, is one who stands at the head of a people. As christ forms his church, he forms it with peter as the leading one of the disciples. Christ is going to