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Which statement is correct about a rectangle?

Class 8Understanding QuadrilateralsQuadrilaterals
  • AIts diagonals are equal and bisect each other
  • BIts diagonals are perpendicular
  • CAll its sides are equal
  • DIts diagonals do not bisect each other

Step-by-Step Solution

A rectangle is a parallelogram (diagonals bisect each other) with 90° angles, which makes its diagonals equal. They are not perpendicular unless it is a square, and its sides are equal only if it is a square.
Answer: A) Its diagonals are equal and bisect each other

Key idea: Special parallelograms — extra properties

**Rectangle**: parallelogram + all angles 90°. Extra: diagonals are equal in length.

**Rhombus**: parallelogram + all sides equal. Extra: diagonals are perpendicular AND bisect the angles at each vertex.

**Square**: parallelogram + all angles 90° + all sides equal. Has both extras: equal AND perpendicular AND angle-bisecting diagonals.

Knowing the family tree saves you memorising overlapping rules — a square inherits everything from rectangle AND rhombus.

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