Decide whether each of the statements is true or false. provide a counterexample if the answer is false.
a. if a figure has exactly two lines of symmetry, it has exactly two rotational symmetries (including the identity symmetry).
b. if a figure has at least three lines of symmetry, it has at least three rotational symmetries (including the identity symmetry).
c. if a figure has exactly two rotational symmetries (including the identity symmetry), it has exactly two lines of symmetry.
d. if a figure has at least three rotational symmetries (including the identity symmetry), it has at least three lines of symmetry.