Ex.14.3 Q6 Symmetry - NCERT Maths Class 7

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Question

After rotating by \( 60^\circ\) about a centre, a figure looks the same as its original position. At what other angles will this happen for the figure?

Text Solution

 

What is known?

Angle of rotation \(60^\circ\)

What is unknown?

At what other angles the figure looks the same as its original.

Reasoning:

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

Steps:

If figure looks the same as its original position by rotating at an angle of \(60^\circ\) it will also look same by rotating at angle of \(120^\circ, \;180^\circ,\; 240^\circ,\;300^\circ,\; 360^\circ\) as these are its multiples.

  
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