Before revision: Two  point configurations \{p_1,\ldots,p_n\} and \{q_1,\ldots,q_n\} are of the same order type if, for every i,j,k, the triples (p_i,p_j,p_k) and (q_i,q_j,q_k) have the same orientation.
After revision: Two labeled point configurations \{p_1,\ldots,p_n\} and \{q_1,\ldots,q_n\} are of the same order type if, for every i,j,k, the triples (p_i,p_j,p_k) and (q_i,q_j,q_k) have the same orientation.