Sometimes. Remember, in order for two polygons to be similar, their angles must be congruent, and their corresponding sides must be proportional. In a rhombus, it is always possible for the angles to differ.
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yes - all the rhombuses. By definition a trapezoid has two parallel sides, a rhombus also has two parallel sides - because both pairs of opposite sides are parallel. So all rhombuses are trapezoids (but not all trapezoids are rhombuses)
Rhombuses and Rectangles
Rectangles and Rhombuses (have at least 2 lines of symmetry).
sometimes
If they have the same nuber of sides (angles) then always. If not then never. So, overall, I suppose the answer is sometimes - depending on the number of sides.