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Ex 12.3, 7 Can we have a rotational symmetry of order more than 1 whose angle of rotation is (i) 45°? Order of rotational symmetry = (360°)/(𝐴𝑛𝑔𝑙𝑒 𝑜𝑓 𝑠𝑦𝑚𝑚𝑒𝑡𝑟𝑦) = (360°)/(45°) = (72°)/9 Since, order of rotational symmetry is an integer Hence it is possible Ex 12.3, 7 Can we have a rotational symmetry of order more than 1 whose angle of rotation is (ii) 17°?Order of rotational symmetry = (360°)/(𝐴𝑛𝑔𝑙𝑒 𝑜𝑓 𝑟𝑜𝑡𝑎𝑡𝑖𝑜𝑛𝑠) = (360°)/(17°) = 21 (3°)/17 Since, order of rotational symmetry is in fraction This is not possible

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.