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Draw, wherever possible, a rough sketch of: (i) a triangle with both line and rotational symmetries

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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 rotational symmetry of order more than 1.
(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) A quadrilateral with a line symmetry may have rotational symmetry of order one but not more than one. Hence, it is not possible to draw, (iv) A trapezium is a quadrilateral which has only one line of symmetry but not rotational symmetry of order more than 1.

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