Question

Find the line of symmetry and the order of rotational symmetry of the given regular polygons and complete the following table and answer the questions given below.

Shape	Equilateral Triangle	Square	Regular pentagon	Regular hexagon	Regular octagon
Number of lines of symmetry
Order of rotational symmetry

i) A regular polygon of 10 sides will have _________ lines of symmetry

ii) If a regular polygon has 10 lines of symmetry, then its order of rotational symmetry is ___________

iii) A regular polygon of 'n' sides has _________ lines of symmetry and the order of rotational symmetry is _________

Answer 1

Shape	Equilateral Triangle	Square	Regular pentagon	Regular hexagon	Regular octagon
Number of lines of symmetry	3	4	5	6	8
Order of rotational symmetry	3	4	5	6	8

i) A regular polygon of 10 sides will have 10 lines of symmetry

ii) If a regular polygon has 10 lines of symmetry, then its order of rotational symmetry is 10

iii) A regular polygon of 'n' sides has n lines of symmetry and the order of rotational symmetry is n