Question

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?

Answer 1

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.

Answer 2

The answer is 2 times.

Explanation:

An irregular parallelogram rotates 360° about the midpoint of its diagonal.

It will coincide with its pre image 2 times during the rotation.

That is at 180° and at 360°.

So, the answer is 2 times.

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