Question

(iii) a quadrilateral with a rotational symmetry of order more than I but not a line
symmetry.
(iv) a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.
| If a figure has two or more lines of symmetry, should it have rotational symmetry of.
order more than 1?​

Answer 1

Answer:

(iii) A quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry is parallelogram

(iv). Yes, if a figure has two or more lines of symmetry, it has rotational symmetry of order more than 1, because every line through the centre forms a line of symmetry and it has rotational symmetry around the centre for every angle. Example: An equilateral triangle has three lines of symmetry.