# Properties of Quadrilateral

There are different properties of quadrilateral. On the basis of it we can recognize what type of quadrilateral is this.Properties of Quadrilateral :

**Parallelogram :**

**Properties**: a) The opposite sides are equal. ( AB = DC and AD = BC )

b) The opposite angles are equal.( ∠A = ∠C and ∠ B = ∠D)

c) The adjacent angles are supplementary.( ∠A + ∠B= 180)

d) The diagonals bisect each other.( AO = OC and BO = OD).

**2) Rectangle :**A rectangle is a parallelogram in which each angle is 90

^{0}.

**Properties**: a) The opposite sides are equal and parallel. ( AB = DC and

AD = BC also AB || CD and AD || BC)

b) Each angle is a right angle.( ∠A = ∠B = ∠ C = ∠D = 90

^{0})

c) Diagonals are equal.(AC = BD)

d) Diagonals bisect each other. (AO = OC and BO = OD)

**3) Square :**A square is a parallelogram with all sides equal and

all angles are 90

^{0}

**Properties :**a) All sides are equal.(AB = BC= CD = DA)

b) Each angle is right angle.

c) Diagonal are equal and bisect each other at right angle.

**4) Rhombus :**Rhombus is a parallelogram with all sides equal and parallel.

**Properties :**a) All sides are equal. (AB = BC= CD = DA)

c) Opposite angles are equal.

d) Adjacent angles are supplementary( adds up to 180)

e) Diagonals bisect each other at right angle.

**5) Trapezoid :**It is a quadrilateral with only one pair of parallel sides.

AB || CD

**Properties :**a) Adjacent angles are supplementary.( ∠1 + ∠2 = 180 and

∠3 + ∠4 = 180)

**Note : If non parallel sides (AD = BC) are equal then the trapezoid is called Isosceles Trapezoid.**

**6) Kite :**

**Properties :**a) Adjacent sides are equal.(AB = AD and BC = CD)

b) Diagonals intersect each other at right angle.( AC bisect BD)

c) BO = OD

**Quadrilateral**

• Introduction to Quadrilateral

• Types of Quadrilateral

• Properties of Quadrilateral

• Parallelogram and its Theorems

• Rectangle and its Theorems

• Square and its Theorems

• Rhombus and its Theorems

• Trapezoid (Trapezium)and its Theorems

• Kite and its Theorems

• Mid Point Theorem

• Introduction to Quadrilateral

• Types of Quadrilateral

• Properties of Quadrilateral

• Parallelogram and its Theorems

• Rectangle and its Theorems

• Square and its Theorems

• Rhombus and its Theorems

• Trapezoid (Trapezium)and its Theorems

• Kite and its Theorems

• Mid Point Theorem

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