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An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram coincide with its preimage during the rotation?

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A parallelogram is a polygon with 4 sides. Examples are square, rectangle, rhombus, trapezoid. However, if it's an irregular parallelogram, then the length of the sides varies, the angle of the edge of two sides varies. Therefore, the image of the parallelogram coincide with its preimage during the rotation only ONCE.

The correct answer is:

2.

Explanation:

Rotating a figure about the midpoint of its diagonal, the figure will coincide with its pre-image two times: at 180° and at 360°.

This is different than rotating about the origin; for a rotation about the origin, a 180° rotation does not always coincide with the pre-image.

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