Question

Draw, wherever possible, a rough sketch of

1. a triangle with both line and rotational symmetries of order more than 1.
2. a triangle with only line symmetry and no rotational symmetry of order more than 1.
3. a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.
4. a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

Answer 1

(i) Equilateral triangle has 3 lines of symmetry and rotational symmetry of order 3.

(ii) Isosceles triangle has only 1 line of symmetry and no rotational symmetry of order more than 1.

(iii) A parallelogram is a quadrilateral which has no line of symmetry but a rotational symmetry of order 2.

(iv)A kite is a quadrilateral which has only 1 line of symmetry and no rotational symmetry of order more than 1.