Choose the figures that have both line symmetry and rotational symmetry.

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Circle

Square

Equilateral triangle

All of the above

answer is D.

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Detailed Solution

Drawing the line symmetry of circle.
A circle has infinite lines of symmetry.
Question Image

The order of rotational symmetry of a circle is about the full rotation of 360 degrees.
Any angle between 0 and 360 can be taken as rotational symmetry.
A circle has an infinite 'order of rotational symmetry'.
Drawing the line symmetry of equilateral triangle.
In an equilateral triangle, all the sides are equal and all the angles equal.
So, it has 3 lines of symmetry.
Question Image

Drawing the rotational symmetry of equilateral triangle.
As it has 3 equal sides, it has 3 order of rotational symmetry.
Question Image

Drawing the line symmetry of square.
Question Image

So, a square has 4 lines of symmetry.
Drawing the rotational symmetry of square.
In the below figure we can see rotation by 90° and thus it has 4 rotational symmetry.
Question Image

Hence, all the option has both line symmetry and rotational symmetry.
Correct option is 4.

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