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 = 106
0 ,
∠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
0

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 0 .



3) Square : A square is a parallelogram with all sides equal and all angles are 90 0



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
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