After rotating by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?

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 a figure looks the same as the original at one angle, then it will look the same as the original on all multiple of that angle.

Thus, if the figure looks the same as its original position by rotating at an angle of 60°, it will also look the same by rotating at an angle of 120°, 180°, 240°, 300°, 360° as these are its multiples.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 14

Video Solution:

After rotating by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?

Maths NCERT Solutions Class 7 Chapter 14 Exercise 14.3 Question 6

Summary:

After rotating by 60° about a centre, a figure looks exactly the same as its original position. It will also look the same by rotating at an angle of 120°, 180°, 240°, 300°, 360° as these are the multiples of 60°.

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