Draw, wherever possible, a rough sketch of

a) a triangle with both line and rotational symmetries of order more than 1.

b) a triangle with only line symmetry and no rotational symmetry of order more than 1.

c) a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.

d) a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

a) An equilateral triangle has both line and rotational symmetries of order more than 1.

Line Symmetry:

Rotational Symmetry:

b) An isosceles triangle has only one line of symmetry and rotational symmetry of order 1.

Line Symmetry:

Rotational Symmetry:

c) Not possible. A quadrilateral with a line symmetry may have rotational symmetry of order one but not more than one.

d) A trapezium has a line symmetry and a rotational symmetry of order one.

Line Symmetry:

Rotational Symmetry:

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