EXAMPLES
Ex 1:
A square has 4 lines of symmetry, namely, the
diagonal and the lines joining the midpoints of opposite sides.
Also a square has rotational symmetry of order 4, when rotated through 90°, 180°, 270° and
360°.
Ex 2:
The letter H has two lines of symmetry.
Also, H has rotational symmetry of order 2, when rotated through 180° and 360°.
Similarly, the letter I have two lines of symmetry and rotational symmetry of order 2.
Similarly, each of the letters O and X has two lines of symmetry and rotational symmetry of
order 2.
Ex 3:
An isosceles triangle has a line of symmetry but
does not have rotational symmetry.
Ex 4:
Look at the below figure.
- It has three lines of symmetry (shown by dotted lines).
- Also it has rotational symmetry of order 3, when rotated through 120°, 240° and 360°.