Question

What is the order of rotational symmetry for the figure?

Answer 1

Answer:

Order of rotational symmetry is 6.

Step-by-step explanation:

The number of positions the object looks the same in a 360-degree rotation is known as order of symmetry.

In the given figure, we have 3 line bisecting each other at a point which is the center of the rotation.

Now, we have 6 segments, each segment have a triangle in clockwise direction. All triangles are congruent.

It means central angle divided in 6 equal parts.

$\dfrac{360^{\circ}}{6}=60^{\circ}$

It means after each 60 degrees we get the same figure.

Since, 6 times the positions of figure looks the same in a 360-degree rotation, therefore, the number of rotational symmetry for the figure is 6.