Question

Which of the following figures has no line of symmetry but has rotational symmetry of order 2?

• A. Square
• B. Rectangle
• C. Parallelogram
• D. None of the above

Answer 1

The correct option is C Parallelogram

$\text{A square has 4 lines of symmetry and}\text{a rectangle has 2 lines of symmetry,}\text{whereas a parallelogram has no line}\text{of symmetry.}$

$\text{A parallelogram however, has rotational}\text{symmetry of order 2 as we get the}\text{same figure when its rotated by}{180}^{\circ }\left(\frac{1}{2}\text{turn}\right).$