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Question

Draw wherever possible, a rough sketch of a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.


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Solution

The quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry is parallelogram.

Line Symmetry: The parallelogram has no line of symmetry.

Rotational Symmetry: The parallelogram has rotational symmetry of order 2 rotated through an angle of 180°.


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