In figure—
Let PQRS be the Parallelogram.
- PQ = RS & PR = QS (side length)
- QS ≠ PR. ( diagonals are not equal)
- PQ || RS and PS || QR.
- ∠SPQ = ∠QRS and ∠PQR = ∠RSP
Note : Parallelogram is a Rectangle if and only if all angles right angle.
Note : Diagonals are bisect to each other in all case.
To Prove :
- Rectangle :
Opposite sides and diagonals are equal.
2. Square :
All sides and diagonals are equal.
3. Rhombus :
All sides are equal and diagonals are not equal.
4. Paralellogram :
Opposite sides are equal and diagonals are not equal.