Post on 18-Feb-2016
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MATHS PROJECT WORK
MADE BY:-HARMANJOT SINGHCLASS:- 9th ‘B’
GUIDED BY:- VIKRAM SIR
Understanding quadrilaterals
INDEXIntroductionTopicIndexClassification of
polygonsDiagonalsConvex polygonConcave polygon
INDEXRegular & irregular polygonsKinds of quadrilateralsElements of a parellelogram.Some special parellelogram.
INTRODUCTION
POLYGON – a simple closed curve made up of only line segments is called a polygon.Eg –
Curve that are polygons.
Curve that are not polygons.
CLASSIFICATION OF POLYGONSNO. OF SIDES OR VERTICES
CLASSIFICATION SAMPLE FIGURE
3 TRIANGLE
4 QUADRILATERAL
5 PENTAGON
6 HEXAGON
Company Name
7 HEPTAGON
8 OCTAGON
9 NONAGON
10 DECAGON
n n-gon
Diagonals
A diagonal is a line segment connecting two non-consecutive vertices of a polygon.Eg-
Convex polygonpolygons that are convex have no portions of their diagonals in their exterior .Eg -
Concave polygonPolygons that are concave have portions of their diagonals in their exterior.Eg-
Regular and irregular polygons
A regular polygon is both equiangular and equilateral.
A polygon that does not have all sides equal and all angles equal . A polygon is regular only if all angles are equal and all sides are equal otherwise it is irregular.
KINDS OF QUADRILATERALS
TRAPEZIUM:-Trapezium is a quadrilateral with a pair
of parellal sides.
- These are trapezium.
KINDS OF QUADRILATERALS
KITE –Kite is a special type of quadrilaterals. The sides with the same markings in each figure are equal.
- Thes are kites.
Kinds of quadrilaterals PARELLELOGRAM-A parellelogram is a quadrilateral.as the name suggests , it has something to do with parellel lines .
ELEMENTS OF A PARALLELOGRAM
There are four sides and four angles in a parellelogram. Some of these are equal. The opposite angles of a parellelogram are of equal measure .DIOGANALS OF PARELLELOGRAM.The diagonals of parellelogram bisects each other at the point of intersection.
Some special parellelograms
Rhombus-The sides of rhombus are of same length.Rhombus have all the properties of a parellelogram and also of a kite.The dioganals of a rhombus are perpendicular bisector of one another.
SOME SPECIAL PARELLELOGRAMA rectangle - A rectangle is a parellelogram with equal sides.Each angle of a rectangle is of 90
A square – A square is a rectangle of equal sides.This means that all sides have equal length.
SUMMARYParellelogram- A quadrilateral with each pair of opposite sides parellel.PROPERTIES- 1-oppposite sides are equal. 2-opposite angles are equal. 3-diagonals bisect one another.
RHOMBUS-A PARELLELOGRAMWITH SIDES OF EQUAL LENGTH.PROPERTIES-1-ALL PROPERTIES OF PARELLELOGRAM. 2-DIAGONALS ARE PERPENDICULAR.
SUMMARY
RECTANGLE- A PARELLELOGRAM WITH A RIGHT ANGLE .PROPERTIES-1-ALL PROPERTIES OF PARELLELOGRAM. 2-EACH OF THE ANGLE IS A RIGHT ANGLE. 3-DIAGONALS ARE EQUAL.
SUMMARY
SQUARE-A RECTANGLE WITH SIDES OF EQUAL LENGTH .PROPERTIES-1-ALL OF A PARELLELOGRAM, RHOMBUS & RECTANGLE.
SUMMARY
KITE-A QUDRILATERAL WITH EXACTLY TWO PAIRS OF EQUAL CONSECUTIVE SIDES.
SUMMARY
Thank you