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 360⁰

Example :

Find the measure of the ∠A in the accompanying diagram, if ∠B = 106⁰,
∠C = 60⁰ and ∠D = 68⁰. Give reasons for your answer.


Solution :
∠A + ∠B + ∠C + ∠D = 360⁰ [ Angles sum of a quadrilateral = 360⁰]

∠A + 106 + 60 + 68 = 360

∠A + 234 = 360

∠A = 360 - 234

∠A = 126⁰

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 90⁰.



3) Square : A square is a parallelogram with all sides equal and all angles are 90⁰



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.

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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
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