Can some prove this question for me, please?

A relation * is defined on N by (x1, x2) (y1 , y2) if and only if there exists a real number k 2 1 such that x1 = ky and x2 = ky2 . For each of the following questions, be sure to provide a proof supporting your answer. a) Is * reflexive? b) Is *symmetric? c) Is anti-symmetric? d) Is *transitive? e) Is * an equivalence relation, a partial order, both, or neither