We know, a parallelogram is a special type of quadrilateral that has equal and parallel opposite sides. ... Therefore every parallelogram is not a trapezium.

Is trapezium a parallelogram yes or no?

A trapezium is not a parallelogram because a parallelogram has 2 pairs of parallel sides. But a trapezium only has 1 pair of parallel sides.

Are all quadrilaterals also parallelograms?

A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles. A rectangle has all the properties of a parallelogram, plus the following: The diagonals are congruent.