No but they do have one set of parallel sides
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trapezoids have 4 sides, rhombuses have 4 sides
Isosceles trapezoids have 2 (occasionally 3) equal sides and have 2 pairs of equal angles, but that's not case if they're not isosceles.
it is called a isosceles shape if iT only has 2 sides that have the same exact length
No. All trapezoids have only one pair of parallel sides which are different in length. In an isosceles trapezoid the lengths of the two non-parallel sides are equal.
Trapezoids are not considered parallelograms because parallelograms have 2 pairs of parallel sides, whereas trapezoids have only one. Some definitions of trapezoid say "at least one pair of parallel sides" in which case, some trapezoids would be parallelograms (the ones that have 2 pairs of parallel sides), but most textbooks in the US now define trapezoids as "exactly one pair of parallel sides."