7. (a) Find the symmetries of the following figure, which is symmetric about the point 0. 1 4. 2 3 (b) Give for each symmetry, the corresponding permutations in S4. (c) Prove that the symmetries form a subgroup of S4. [2] [2] [4] ANN 7. (a) Find the symmetries of the following figure, which is symmetric about the point 0. 1 4. 2 3 (b) Give for each symmetry, the corresponding permutations in S4. (c) Prove that the symmetries form a subgroup of S4. [2] [2] [4] ANN