If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?

Solution:

Rotational symmetry is when an object is rotated around a centre point (turned) a number of degrees and the object appears the same.

The order of symmetry is the number of positions the object looks the same in a 360° rotation.

Yes, if a figure has two or more lines of symmetry, it has rotational symmetry of order more than 1, because every line through the centre forms a line of symmetry and it has rotational symmetry around the centre for every angle. 

Example: An equilateral triangle has three lines of symmetry. It shows rotational symmetry at angles 120º, 240º and 360º. Hence, order of rotational symmetry is 3.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 14

Video Solution:

If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?

Maths NCERT Solutions Class 7 Chapter 14 Exercise 14.3 Question 3

Summary:

Yes, if a figure has two or more lines of symmetry, it has rotational symmetry of order more than 1, because every line through the centre forms a line of symmetry and it has rotational symmetry around the centre for every angle.

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