State whether the following statement is true or false.

A figure could have the rotational symmetry of an order higher than 1 if it has two or more lines of symmetry.

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True

False

answer is A.

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Detailed Solution

Here, we have to find a figure that has the rotational symmetry of an order higher than 1 if it has two or more lines of symmetry.
Here, we'll provide an example of an equilateral triangle with equal sides and angles.
In an equilateral triangle, there are three lines of symmetry as shown below.
Question Image

These three lines indicate that the above triangle has an order of line symmetry =3.
Also, when an equilateral triangle is rotated through the angles of

120 °, 240 °, 360 °,

it appears to be the same as the rotational figure, so we can say that it has rotational symmetry of order 3.
Question Image

Thus, the order of rotational symmetry is 3.
Therefore, a figure could have the rotational symmetry of an order higher than 1 if it has two or more lines of symmetry.
Hence, the given statement is true.
So, option (1) is correct.

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