Question

Does this figure have rotational symmetry?

A) No, a square cannot be rotated.
B) Yes, the figure can be rotated 90°.
C) Yes, the figure can be rotated 180°.
D) No, no matter how it is rotated it will look different.

Answer 1

B) Yes the figure can be rotated 180 degrees

Answer 2

Answer: C) Yes, the figure can be rotated 180°.

Explanation:

• We said a shape has rotational symmetry if it moves onto itself under rotation about a point at its center .
• The order of rotational symmetry is the number of times the shape moves onto itself during a rotation of 360° about a center point.

Here,the given figure is a rectangle, and we know that a rectangle has order of rotational symmetry of 2.

The 180° and 360° rotations will map it onto itself.

So, from the given options, the right answer is C) Yes, the figure can be rotated 180°.