(a) If a fan has a rotational symmetry of order 4, how many blades are there in the fan?
(b) Name the quadrilateral which has both line and rotational symmetry of order more than 1. [2 MARKS]

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Solution

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(a) If a fan has rotational symmetry of order 4, this means that the fan looks exactly as it was before the rotation at four instances. This can only happen when it has four blades.

(b) Square has both line and rotational symmetry of order more than 1.

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Name the quadrilateral which has both line and rotational symmetry of order more than 2.

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 line symmetry and no 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.

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