Title: OF QUADRILATERAL
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2 CERTIFICATE
   This is to certify that this
project is done by by themselves during their
training period from 30/11/2005 TO 21/12/2005 at
S.M.V.HSS,Trivandrum
   Â
3PROPERTIES CONSTRUCTION OF
QUADRILATERAL
- BY
- VISHNU.B
- JIJU. K. NAIR
-
NITHINKUMAR.S.P - VIPIN.R.S,X A
OF S.M.V.HSS,THIRUVANANTHAPURAM
4INTRODUCTION
A Quadrilateral is a four-sided polygon with four
angles. There are many kinds of quadrilaterals.
                                       Â
E.g. The shape ABCD shown here is a
quadrilateral. A
line segment drawn from one. AC is a diagonal of
quadrilateral ABCD, as is BD.
vertex of a quadrilateral to the opposite vertex
is called a diagonal of the quadrilateral
5TYPES OF QUADRILATERALS
PARALLELOGRAM
RECTANGLE
TRAPEZIUM
RHOMBUS
SQUARE
6PROPERTIES OF PARELLOGRAM
- Opposite sides of a parallelogram are parallel
and equal in length. - Opposite angles are equal in size.
- Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
- Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
                                                 Â
                      -
-
- Â Â Â Â Â Â Â Â Â Â Â Â Â Â
7Eg
The symbol // represents is parallel to. AB is
parallel to CD is written as AB//CD. Sides AB
and CD are marked with identical arrows to show
that AB //CD. Sides AC and BD are marked with
identical arrows to show that AC //BD.
8RECTANGLE
9PROPERTIES OF RECTANGLES
Opposite sides of a rectangle are
parallel and equal in
length. All angles are equal to 90.
10Eg
-
- Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
11TRAPEZIUM
12PROPERTIES OF TRAPEZIUM
- A trapezium has one pair of opposite sides
parallel. - A regular trapezium has non-parallel sides equal
and its base angles are equal
13Eg
                                   Â
14 Students will be able to find relationship
among angles,sides,and diagonals of
parallelograms.       Students will be able
to find characteristics of quadrilaterals that
indicate that they are parallelograms.      Â
Students will know how to solve solve practical
problems using the properties of parallelograms
algebraic and coordinate problems using the
properties of parallelograms.       Students
will know how to.
OBJECTIVES
15CONSTRUCTION
OF
PARALLELOGRAM
16WHEN TWO DIAGONAL ONE ANGLE IS GIVEN
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