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 only 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

Answer:

not rotational symmetry of order more than

1

.

Reasoning:

To solve this question, remember the concept of rotational symmetry. Rotational symmetry is when an object is rotated around a centre point (turned) a number of degrees and the object appears the same. The order of symmetry is the number of positions the object looks the same in a

360

∘

rotation.

Steps:

(i) An equilateral triangle has both line and rotational symmetry of order more than

1.

(ii) An isosceles triangle has only one- line symmetry and no rotational symmetry of order more than

1.

(iii) Parallelogram has two order of rotational symmetry but no line of symmetry.

(iv) A kite is a quadrilateral which has only one line of symmetry but not rotational symmetry of order more than

1.