Question

the figure below has rotational symmetry. ° is the smallest possible rotation that results in the figure being mapped onto itself.

Explanation:

Step1: Recall rotational - symmetry concept

A figure has rotational symmetry if it can be rotated about a point by an angle less than 360° and map onto itself. For a kite - like figure (a rhombus in this case), the center of rotation is the intersection of its diagonals.

Step2: Determine the smallest rotation angle

A rhombus has rotational symmetry of order 2. The smallest non - zero angle of rotation that maps a rhombus onto itself is 180°.

Answer:

180