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.