no they do not. For example, draw two parallel horizontal lines. Make the top one twice as long as the bottom. You can still connect them and they remain parallel sides of a quadralateral.
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they are a shape with 4 sides and the sides are not the same lenth
No. Parallel means they are side by side and have the same distance continuously between them but they might be different lengths and therefore not the same. A trapezoid has two parallel sides of unequal lengths.
A Rhombus had 2 pairs of parallel sides and has NO right angles. :)
In plane geometry, a shape with four sides, two of which are parallel and have the same length, cannot have a reflex angle.
this isn't possible, as having all sides be different lengths would prevent the sides from being parallel.