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: