Can we have a rotational symmetry of order more than 1 whose angle of rotation is
(i) 45°? (ii) 17°?

Solution:

When an object is rotated in a particular direction, around a point, then it is known as rotational symmetry, also known as radial symmetry. Rotational symmetry exists when a shape is turned, and the shape is identical to the origin.

If the given angle is a factor of 360°, only then the figure will have rotational symmetry of order more than one.

(i) 45° is a factor of 360°, so the figure will have rotational symmetry of order more than 1 and there would be 8 rotations.

(ii) 17° is not a factor of 360°, so the figure will not have rotational symmetry of order of more than 1.

☛ Check: NCERT Solutions Class 7 Maths Chapter 14

Video Solution:

Can we have a rotational symmetry of order more than 1 whose angle of rotation is (i) 45°? (ii) 17°?

Maths NCERT Solutions Class 7 Chapter 14 Exercise 14.3 Question 7

Summary:

(i) The figure with an angle of 45° have rotational symmetry of order more than 1 and there would be 8 rotations, (ii) The figure with an angle of 17° will not have rotational symmetry of order more than 1.

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