Yes.
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Yes, 180 degrees. In the degenerate case that the parallelogram is a square, then 90 degrees.
Any shape with a rotational symmetry of order 2 or more.
No, a triangle does not have point symmetry. Point symmetry occurs when an object or shape remains the same after being rotated 180 degrees around a central point. In the case of a triangle, it does not have point symmetry because it does not look the same after a 180-degree rotation.
Of course. A reflection of any symmetric shape about a line perpendicular to its axis of symmetry will be a rotation of 180 degrees around the point on its axis of symmetry which is halfway between the pre-image and the image.
No, it does not.