Question

Draw, wherever possible, a rough sketch of

(i) a triangle with both line and rotational symmetries of order more than 1.

(ii) a triangle with only symmetry and to rotational symmetry of order more than 1.

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

(iv) a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

Answer 1

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

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

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

(iv) An isosceles trapezium has one line of symmetry of order more than 1.