The GeoGebra below shows a clock with N positions. Starting from the N o'clock, the system will draw lines each time jumping J hours ahead. [br][br][b]1.[/b]  Consider N = 12. [br]     [b](a)[/b]  What is the shape of the figure obtained when [br]          [b] (i)[/b]   J = 3?[br]         [b]  (ii)[/b]  J = 4?[br]          [b] (iii)[/b] J = 6?[br][br]  [b]   (b)[/b]  Which value(s) of J will result in a complete cycle?[br]           [Hint: A complete cycle means the figure visits all the positions.][br][br]    [b] (c)[/b]  Which property must J have to result in a complete cycle?[br][br][b]2.[/b]  Try other values of N and J. See if your answer in question 1(c) is true.