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Draw, wherever possible, a rough sketch ...

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`.

Text Solution

Verified by Experts

1) order of rectangle= `360^0/90^0=4`
order of triangle=`360^0/120^0=3`
2) a triangle can be drawn with only line symmetry and no rotational symmetry of order more than 1.
3) a parallelogram is a quadrilateral with a rotational symmetry of order more than 1 but not a symmetry.
4) A trapezium is a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.
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