Question

Construct a regular hexagon of side $5 cm$. Hence determine the number of lines of symmetry can be drawn for a regular hexagon.

Answer 1

Hint- Draw the figure and count the number of lines present in it practically with the help of a regular hexagon.

We have a regular hexagon of side $5 cm$ as given in the figure above.
We have to count the number of lines of symmetry.
As we can see that lines joining the opposite sides of the hexagon correspond to $3$ lines of symmetry, also the lines joining midpoints of opposite sides of the hexagon correspond to the line of symmetry which is again $3$ in number. Hence overall we have $6$ lines of symmetry which are clearly shown by the dotted line in the figure given above.

Note- We say there is symmetry when the exact reflection or mirror image of a line, shape or object gets created. The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. The lines of symmetry can be easily counted with the help of figure.