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Which special parallelogram is described by the property: 'Diagonals are equal but NOT perpendicular'?

Class 9QuadrilateralsGeometry — Quadrilaterals
  • ARhombus
  • BRectangle
  • CSquare
  • DGeneral parallelogram

Step-by-Step Solution

A rectangle has equal diagonals that bisect each other but are not perpendicular (perpendicular would make it a square). A rhombus has perpendicular but unequal diagonals.
Answer: B) Rectangle

Key idea: Special parallelograms

**Rectangle** (parallelogram + all angles 90°):
- All properties of a parallelogram.
- Diagonals are EQUAL (in addition to bisecting each other).

**Rhombus** (parallelogram + all sides equal):
- All properties of a parallelogram.
- Diagonals bisect each other AT RIGHT ANGLES.
- Diagonals also bisect the angles of the rhombus.

**Square** (rectangle + rhombus):
- All properties of both.
- Diagonals: equal, bisect at right angles, AND bisect angles.

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