Every parallelogram is a trapezium.

Answer

To determine whether every parallelogram is a trapezium, we can analyze the definitions and properties of both shapes step by step.

### Step-by-Step Solution:

1. **Definition of a Parallelogram**:
A parallelogram is a four-sided figure (quadrilateral) where opposite sides are both equal in length and parallel to each other.

2. **Definition of a Trapezium**:
A trapezium (or trapezoid in some regions) is a four-sided figure where at least one pair of opposite sides is parallel. In the case of an isosceles trapezium, the non-parallel sides are equal in length.

3. **Properties of a Parallelogram**:
- Both pairs of opposite sides are parallel.
- Both pairs of opposite sides are equal in length.
- The opposite angles are equal.
- The diagonals bisect each other.

4. **Properties of a Trapezium**:
- At least one pair of opposite sides is parallel.
- In an isosceles trapezium, the non-parallel sides are equal in length.
- The angles adjacent to each base are supplementary.

5. **Comparison**:
- Since a parallelogram has both pairs of opposite sides parallel, it certainly meets the condition of having at least one pair of parallel sides, which is required for a trapezium.
- Therefore, every parallelogram satisfies the definition of a trapezium.

6. **Conclusion**:
Based on the definitions and properties, we can conclude that every parallelogram is indeed a trapezium. Thus, the statement "Every parallelogram is a trapezium" is true.