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Q.

The order of rotation and angle of rotation of an equilateral triangle respectively are:


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a

4 and 90 °  

b

2 and 90 °  

c

3 and 120 °  

d

3 and 60 °     

answer is C.

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Detailed Solution

Here, we have to find the order of rotation and angle of rotation of an equilateral triangle.
We know that the order of a regular polygon's rotational symmetry equals the number of sides and the angle of rotation should be
Angle of rotation= 360 ° Order of a regular polygon .   Since an equilateral triangle is a three-sided regular polygon, therefore the order of an equilateral triangle is also 3.
Thus, the angle of rotation of an equilateral triangle is,
⇒Angle of rotation= 360 ° 3 ⇒Angle of rotation= 120 °  
Question ImageHence, the order of rotation and angle of rotation of an equilateral triangle respectively are 3 and 120 ° .  
So, option (3) is correct.
 
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