Question

Which statement about this figure is true?

It has rotational symmetry with an angle of rotation of 30°.


It has no reflectional symmetry.


It has no rotational symmetry.


It has reflectional symmetry with 6 lines of symmetry.

Answer 1

b and d

Explanation:

The figure has 12 peaks. A full circle has 360 degrees.

(360 degrees)/12 = 30 degrees.

b. It has rotational symmetry with an angle of rotation of 30 deg.

If you draw a line between each pair of opposite peaks, that line is an axis of reflectional symmetry. Since there are 12 peaks, there are 6 such lines.

d. It has reflectional symmetry with 6 lines of symmetry.

Answer 2

It has rotational symmetry with an angle of rotation of 30°.

Explanation:

A shape is said to possess rotational symmetry, when it still looks the same after some rotation.

We can see, that the given shape looks the same from every angle and every side.

So, the correct answer is: It has rotational symmetry with an angle of rotation of 30°.

30 degrees because it has 12 angles and
`360/12=30` degrees.