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Ex 14.3, 7 Can we have a rotational symmetry of order more than 1 whose angle of rotation is (i) 45Β°? Order of rotational symmetry = (360Β°)/(𝐴𝑛𝑔𝑙𝑒 π‘œπ‘“ π‘ π‘¦π‘šπ‘šπ‘’π‘‘π‘Ÿπ‘¦) = (360Β°)/(45Β°) = (72Β°)/9 Since, order of rotational symmetry is an integer Hence it is possible Ex 14.3, 7 Can we have a rotational symmetry of order more than 1 whose angle of rotation is (ii) 17Β°?Order of rotational symmetry = (360Β°)/(𝐴𝑛𝑔𝑙𝑒 π‘œπ‘“ π‘Ÿπ‘œπ‘‘π‘Žπ‘‘π‘–π‘œπ‘›π‘ ) = (360Β°)/(17Β°) = 21 (3Β°)/17 Since, order of rotational symmetry is in fraction This is not possible

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.