It is sometimes true that two parallelograms are similar.
The could be congruent, or dissimilar in that one is not an enlargement of the other.
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Sometimes * * * * * Never. A parallelogram has two pairs of equal angles opposite one another. A trapezoid does not.
-- A parallelogram is always a quadrilateral. -- A quadrilateral is sometimes a parallelogram.
Not always, sometimes two obtuse triangles are similar and sometimes they are not similar.
opposite angles of all parallelograms are always equal.
Sometimes similar but it depends