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Which quadrilateral is defined as having at least one pair of parallel sides?

Class 8Understanding QuadrilateralsQuadrilaterals
  • ATrapezium
  • BParallelogram
  • CRhombus
  • DKite

Step-by-Step Solution

A trapezium has at least one pair of parallel sides. A parallelogram is the special case with two pairs (so every parallelogram is also a trapezium); a kite and a rhombus are defined by their equal sides.
Answer: A) Trapezium

Key idea: The quadrilateral family tree

Order from most general to most special:

```
Quadrilateral
├── Trapezium (one pair of parallel sides)
├── Kite (two pairs of adjacent equal sides)
└── Parallelogram (two pairs of parallel sides)
├── Rectangle (4 right angles)
│ └── Square (4 right angles + all sides equal)
└── Rhombus (4 equal sides)
└── Square (also)
```

A square is BOTH a rectangle and a rhombus — it's the most special kind of parallelogram. A rectangle and a rhombus are both parallelograms. Trapeziums and kites are quadrilaterals but not parallelograms.

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