Question

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

Answer 1

(i) Using the given data, construct the regular hexagon $ABCDEF$ with each side equal to $5cm$.
(ii) Draw the perpendicular bisectors of sides $AB,BC,CD,DE,EF$ and $FA$ which intersect $AB$ at $V,BC$ at $X,CD$ at $Y,DE$ at $U,EF$ at $W$ and $FA$ at $Z$.
(iii) Join the mid points of opposite sides i.e., $UV,WX$ and $YZ$ and the diagonals passing through the centres i.e., $AD,BE$ and $CF$.
Hence A regular hexagon has six lines of symmetry - $UV,WX,YZ,AD,BE,CF$.