# Types of Quadrilateral

In this section we will discuss different types of quadrilateral.**Quadrilateral :**It is a closed figure formed by 4 line segments.There are different kinds of quadrilateral,they are as follows :

**Sum of all the angles of a quadrilateral is always 360**

^{0}**Example :**

Find the measure of the ∠A in the accompanying diagram, if ∠B = 106

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∠C = 60

^{0}and ∠D = 68

^{0}. Give reasons for your answer.

**Solution :**

∠A + ∠B + ∠C + ∠D = 360

^{0}[ Angles sum of a quadrilateral = 360

^{0}]

∠A + 106 + 60 + 68 = 360

∠A + 234 = 360

∠A = 360 - 234

∠A = 126

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**Definitions of Different kinds of Quadrilaterals**

**1) Parallelogram**: A parallelogram is a quadrilateral where each pair of opposite sides are parallel.(AB || DC and BC || AD)

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

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**3) Square :**A square is a parallelogram with all sides equal and all angles are 90

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

**5) Trapezoid :**It is a quadrilateral with only one pair of parallel sides. AB || CD. If non parallel sides (AD = BC) are equal then the trapezoid is called Isosceles Trapezoid.

**6) Right-angled trapezoid:**A right-angled is a trapezoid with two right angles. The following is a right-angle trapezoid.

**6) Kite :**A quadrilateral is a kite,if it has two pairs of equal adjacent sides and unequal opposite sides.

**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