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Question
Can we have a rotational symmetry of order more than 1 whose angle of rotation is 45°?
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Solution
It can be observed that if the angle of rotation of a figure is a factor of 360°, then it will have a rotational symmetry of order more than 1.
It can be checked that 45° is a factor of 360°. Therefore, the figure having an angle of rotation as 45° will have a rotational symmetry of order more than 1.
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RELATED QUESTIONS
If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?
Fill in the blanks:
| Shape | Centre of Rotation | Order of Rotation | Angle of Rotation |
| Square | |||
| Rectangle | |||
| Rhombus | |||
| Equilateral Triangle | |||
| Regular Hexagon | |||
| Circle | |||
| Semi-circle |
Can we have a rotational symmetry of order more than 1 whose angle of rotation is 17°?
In the following figure, write the number of lines of symmetry and order of rotational symmetry
[Hint: Consider these as 2-D figures not as 3-D objects.]
In the following figure, write the number of lines of symmetry and order of rotational symmetry.
[Hint: Consider these as 2-D figures not as 3-D objects.]
In the following figure, write the number of lines of symmetry and order of rotational symmetry.
[Hint: Consider these as 2-D figures not as 3-D objects.]
In the following figure, write the number of lines of symmetry and order of rotational symmetry.
[Hint: Consider these as 2-D figures not as 3-D objects.]
In the following figure, write the number of lines of symmetry and order of rotational symmetry.
[Hint: Consider these as 2-D figures not as 3-D objects.]
In the following figure, write the number of lines of symmetry and order of rotational symmetry.
[Hint: Consider these as 2-D figures not as 3-D objects.]
In the following figure, write the number of lines of symmetry and order of rotational symmetry.
[Hint: Consider these as 2-D figures not as 3-D objects.]
