They are both 4 sided quadrilaterals
They both have 4 interior angles that add up to 360 degrees
They both have 4 exterior angles that add up to 360 degrees
They both have 2 diagonals
They both have a perimeter which is the sum of their 4 sides
They both can be divided into triangles
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A trapezoid is not a parallelogram, a trapezoid is a polygon. The definition of parallelogram is a shape in which all sides are parallel. In a trapezoid, only one pair of sides is parallel.
It's not
They are quadrilaterals.
No. In fact, it is NEVER similar.
Yes