Which of the following is true for a kite but NOT for a general parallelogram?

Class 9QuadrilateralsGeometry — Quadrilaterals

AOpposite sides are equal
BOne diagonal is the perpendicular bisector of the other
CDiagonals bisect each other
DOpposite angles are equal

Step-by-Step Solution

In a kite, one diagonal (the axis of symmetry) is the perpendicular bisector of the other. A general parallelogram has bisecting diagonals but not this perpendicular-bisector property.

Answer: B) One diagonal is the perpendicular bisector of the other

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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