List of top Mathematics Questions on Line Symmetry And Rotational Symmetry

Draw, wherever possible, a rough sketch of 

1.  a triangle with both line and rotational symmetries of order more than 1. 
2.  a triangle with only line symmetry and no rotational symmetry of order more than 1. 
3.  a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry. 
4.  a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.

If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?

After rotating by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?

Name the quadrilaterals which have both line and rotational symmetry of order more than 1.

Fill in the blanks:

Shape	Centre of Rotation	Order of Rotation	Angle of Rotation
Square
Rectangle
Rhombus
Equilateral Triangle
Regular Hexagon
Circle
Semi-circle

Can we have a rotational symmetry of order more than 1 whose angle of rotation is 

1. 45°? 
2.  17°?

Name any two figures that have both line symmetry and rotational symmetry.