yes, or else the lines would no longer be parallel
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That's not possible. True, a parallelogram always has opposite side equal.
In parallelogram each two opposite sides are parallel and equal in length
Well, honey, in a parallelogram, opposite sides are equal in length and opposite angles are equal in measure. So, the most likely side lengths for a parallelogram would be two pairs of sides that are equal to each other. But hey, don't forget, as long as those opposite sides are parallel and those angles are congruent, you've got yourself a good ol' parallelogram.
No. A parallelogram has opposite sides parallel.A square is a parallelogram with all sides being equal and all internal angles being 90 degrees.A rectangle is a parallelogram with all internal angles being 90 degrees. and opposite side being equal in length.A rhombus is a parallelogram with all sides equal, but internal angles are not necessarily 90 degrees.
The base of a parallelogram is parallel to its opposite side.