a) Indicate the defining property for two integers to be congruent mod m b) Use this definition to show that if a = b mod m and c = d mod m, ac = bd mod m. c) Is the converse of b) true? then I.e. if ac = bd mod m, is then true that a = b mod m and c = d mod m If so, prove it. If not, find a counter-example. For the toolbar press ALT+F10 (PC) or ALT+FN+F10 (Mac).