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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 _________
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Solution
| 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
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