Some Special Parallelograms

1. Rhombus

If a parallelogram has all the four sides equal then it is called a Rhombus.

Here, AB = BC = CD = AD.

Properties of a Rhombus

  • A rhombus has all the properties of a parallelogram and a kite.
  • The special property is that its diagonals are perpendicular bisector to each other.

Hence, AE = EC and DE = EB.

It makes an angle of 90° at the point of intersection of the diagonals.

2. Rectangle

A parallelogram with equal angles and equal opposite sides is called Rectangle.

Here, AB = DC and AD = BC.

Properties of a Rectangle

  • Opposite sides are parallel and equal.
  • Opposite angles are equal.
  • Adjacent angles make a pair of supplementary angles.
  • Diagonals are of equal length.
  • Diagonals bisect each other.
  • All the four angles are of 90°.

3. Square

A rectangle with all the four equal sides is called a Square.

Here, AB = BC = CD = AD.

Properties of a Square

  • All four sides are equal.
  • Opposite sides are parallel.
  • Diagonals are of equal length.
  • Diagonals are perpendicular bisector to each other.
  • All the four angles are of 90°.
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