Saturday, June 11, 2011


cbse maths types of Quadrilateral

Quadrilaterals 


A quadrilateral is a closed plane figure bounded by four line segments. E.g. The figure ABCD shown here is a quadrilateral.


A line segment drawn from one vertex of a quadrilateral to the opposite vertex is called a diagonal of the quadrilateral. For example, AC is a diagonal of quadrilateral ABCD.

Types of Quadrilaterals

There are six basic types of quadrilaterals:
1. Rectangle: Opposite sides of a rectangle are parallel and equal. All angles are 90º.


2. Square
Opposite sides of a square are parallel and all sides are equal. All angles are 90º.

3. Parallelogram 
Opposite sides of a parallelogram are parallel and equal. Opposite angles are equal.

4. Rhombus

All sides of a rhombus are equal and opposite sides are parallel. Opposite angles of a rhombus are equal. The diagonals of a rhombus bisect each other at right angles.


5. Trapezium
A trapezium has one pair of opposite sides parallel. A regular trapezium has non-parallel sides equal and its base angles are equal, as shown in the following diagram.


6. Kite
Two pairs of adjacent sides of a kite are equal, and one pair of opposite angles are equal. Diagonals intersect at right angles. One diagonal is bisected by the other.


Theorem 3 Prove that the angle sum of a quadrilateral is equal to 360º.
Proof: To prove < A + <B + <C + <D= 360



In tri ABC p + u + B = 180 (angle sum property of triangle)-----1
Similarly
In Tri. ACD , q + v + D = 180--------2
Adding (1 ) and  (2)

(p +  q) + (u+  v ) + B+ D = 180+ 180
 < A + <B + <C + <D= 360
Hence the angle sum of a quadrilateral is 360º.


Source  
http://cbseadda.blogspot.com

1 comment:

  1. Very nice blog and nice explanation and here are some properties and definition of rhombus a rhombus is a type of parallelogram, and what distinguishes its shape is that all four of its sides are congruent means all 4 sides are congruent,diagonals bisect vertex angles,diagonals are perpendicular.
    Quadrants of a Graph

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