Yes, they must be.
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Parallelogramwhat quadrillateral has parallel sides that are the same length; no right anglesA quadrilateral whose opposite sides are parallel is a rectangle.* * * * *A rectangle is a special case. The more general answer is a parallelogram.It's a Parallelogram
rhombus
A Rectangle
Any regular polygon with an even number of sides will have opposite sides that are parallel. For quadrilaterals (4-sided shapes), a trapezoid has one set of opposite sides and a parallelogram (rectangle, square, rhombus) has both sets of opposite sides parallel.
parallelogram square, rectangle, rhombus