Quadrilateral

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SUBTOPICS:- 1.Introduction 2.Angle Sum Property of Quadrilateral 3.Types of Quadrilateral

Transcript of Quadrilateral

SUBTOPICS:-1.Introduction2.Angle Sum Property of Quadrilateral3.Types of Quadrilateral

INTRODUCTION QUADRILATERAL – A closed figure,in a

plane bounded by four line segments is called a quadrilateral.

A B

C

D

ANGLE SUM PROPERTY OF QUADRILATERAL

The sum of all the angles of a quadrilateral is 360°.This can be verified by drawing a diagonal and dividing a quadrilateral into two triangles.

A B

CD

TYPES OF QUADRILATERALS

Trapezium

Parallelogram

Rectangle

Rhombus

Square

Kite

TRAPEZIUM A quadrilateral in which one pair of

opposite side is parallel is called a TRAPEZIUM.

In figure , ABCD is a trapezium because here ,AB II DC.

A

Parallel sides never meet.

A B

CD

PARALLELOGRAM A quadrilateral in which both pairs

of opposite sides are parallel is called a PARALLELOGRAM.

In the figure , ABCD is a parallelogram because ABIIDC and DAIICB.

Indicates equal sides

A B

CD

RECTANGLE It is a special parallelogram whose

one angle is right angle. In the figure , ABCD is a rectangle

because ABIICD and ADIIBC and A=90°.

Indicates equal sides

Box indicates 900 angle

A

D C

B

RHOMBUS It is a special parallelogram whose

all sides are equal. In the figure , ABCD is a rhombus

because ABIICD , ADIIBC and AB=BC=CD=DA.A B

CD

All four sides are equal

SQUARE It is a special parallelogram in

which all the sides are equal and one angle is right angle.

In the figure , ABCD is a square because ABIICD ,ADIIBC and AB=BC=CD=DA and A=90°.Indicates equal

sides

Box indicates 900 angle

KITE A quadrilateral in which two pairs

of adjacent sides are equal is called a KITE.

In the figure , ABCD is a kite because AD=CD and AB=BC.

Indicates equal sides

SUBMITTED BY :-1.Karan Singh Rawat2.Abhishek Bhardwaj 3.Samarth Sharma4.Harshit Sharma5.Atul Kumar 6.Paras Gupta7.Diwaker Baggan8.Nitin Mehta

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Submitted To -

MR. GUR AJAY PAL SINGH