State whether the following statement is true or false.

An equilateral triangle has both rotational and line symmetry of a higher order than one.

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True

False

answer is A.

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Detailed Solution

Here, we have to find the both rotational and line symmetry of an equilateral triangle.
In an equilateral triangle, there are three symmetric lines 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

So, an equilateral triangle has both line and rotational symmetry of order greater than one Therefore, the given statement is true.
Hence, option (1) is correct.

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