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?

Video Solution
Symmetry
Ex 14.3 | Question 6

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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