Question

If a quadrilateral has two or more lines of symmetry, it will have rotational symmetry of order more than ___ .

Answer 1

• A figure is said to have a line of symmetry or linear symmetry if there exists a line which divides the figure into two identical halves such that they coincide when folded along this line.
• A shape has rotational symmetry when it still looks the same after a rotation of less than one full turn.

A line of symmetry passes through the center. So, when it has 2 lines of symmetry, you will get the same image at least when it is rotated at ${180}^{\circ }$.

For example, a rectangle - It has 2 lines of symmetry and a rotational symmetry of the order 2. Hence, if a quadrilateral has two or more lines of symmetry, it will have rotational symmetry of order more than one.