No. A trapezoid must have one pair of parallel sides, and a parallelogram must have two pair.But a quadrilateral in general doesn't necessarily have any parallel sides.
The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.
This is called a Parallelogram. Each pair of opposite sides will then be the same length. If all four sides are the same length, and opposite sides are parallel, then it is a rhombus. NB: If all four sides are the same length then the opposite sides must be parallel.
A trapezium must have one pair of parallel sides and the other sides must not be parallel - since in that case it becomes a parallelogram.
A parallelogram must have 4 sides and so it must be a quadrilateral. However, the sides of a quadrilateral need not be parallel so a quadrilateral need not be a parallelogram.
parallelogram or rectangle
There is no such shape. If the four sides are equal it MUST be a parallelogram.
Because if they were parallel but not equal, the other two sides would not be parallel.
If both sets of opposite sides are parallel and not equal, the shape cannot be a plane figure. It must be a projection of a parallelogram onto a spherical surface (or similar).
There is no four-sided shape (quadrilateral) with four equal sides where no angles are the same. The diagonally-opposing angles must be the same, and opposing sides must be parallel. The only quadrilateral that fits that description is a parallelogram.
Rectangles and squares are examples of parallelograms, as are rhombi. To be a parallelogram, the four-sided-polygon (quadrilateral) must have opposite sides parallel.
One pair must be. If the other pair is also parallel it becomes a parallelogram.