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Which of the following is a property common to BOTH a rhombus and a rectangle?

Class 8Understanding QuadrilateralsQuadrilaterals
  • ADiagonals bisect each other
  • BAll four sides are equal
  • CDiagonals are perpendicular
  • DAll four angles are 90°

Step-by-Step Solution

Both a rhombus and a rectangle are parallelograms, so their diagonals bisect each other. Equal sides belong to the rhombus, perpendicular diagonals to the rhombus, and 90° angles to the rectangle.
Answer: A) Diagonals bisect each other

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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