2 opposite acute angles and 2 opposite obtuse angles with opposite parallel sides
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The choice of the base of a parallelogram does change the area because the base is always the bottom line of parallelogram.
No, it does not.
It does not. The perimeter of a parallelogram is a characteristic of the parallelogram. The orientation: which side is considered a base makes do difference whatsoever.
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Shapes that don't have 4 sides are not quadrilaterals