Kite

1. COMPARING
QUADILATERALS
TO A KITE .
SrivatSal NarayaN
ClaSS :-viii E

2. Differences Between Trapezium and a Kite .
trapEzium
 Has one pair of opposite
sides parallel .
 Centerior angles are
supplementary . E.g. :-
 Adjacent sides may or may
not be equal .
KitE
 May or may not have parallel
sides .
 It may or may not have
parallel sides therefore
Centerior angles may or may
not be there.
 Adjacent sides are equal .

3. Changes to be made in a Trapezium to make
it a Kite .
A C
B D
To make trapezium a kite we should first make AC equal to CD
and also make AB equal to BD .We will also have to make angle BAC
equal to CDB .
To check this we should first make the diagonals AD and BC. If AD
bisects AC or vice versa and diagonals intersect each other at 90
degrees it can be proved that the figure formed is a kite .

4. Differences Between a Parallelogram and
Kite .
Parallelogram
• Opposite sides are parallel.
• Opposite sides are equal .
• Diagonals do not bisect each
other at 90 degrees .
Kite
• May or may not have parallel
sides .
• Adjacent sides are equal .
• Diagonals intersect each
other at 90 degrees .

5. Changes to be Made in a Parallelogram to
make it a Kite .
A D
B C
•We need to make sides AD and DC equal to each other and sides
AB and BC equal to each other .
•To check this we can make diagonals and AC and BD . If any one of
them bisects each other and if one of the diagonals bisect other at
90 degrees it is proved that the figure formed is kite .

6. Differences Between a Rectangle and a Kite .
rectangle
 All angles are equal .
 Opposite sides are equal .
 Opposite sides are parallel
are equal .
Kite
 All angles may or may not be
equal .
 Adjacent sides are equal .
 Opposite sides may or may
not be equal .

7. Changes to be Made in a Rectangle to Make it
a Kite .
A B
D C
To make a rectangle into a kite all we need to do is to make sides
AB and BC equal .
To check that the figure formed is a is a rectangle or not we need
to make sure that one of the diagonals intersects the other . We
also need to make sure that the diagonals intersect at 90 degrees .

8. Relations Between a Square and a Kite.
A B
D C
A square is exactly like a kite because :-
It has adjacent sides equal .
Opposite angles are equal .
Diagonals intersect each other at 90 degrees .
One diagonal bisects the other .
Thus we conclude that square is a special type of quadrilateral
which is a parallelogram as well as a kite.

9. Relations Between a Rhombus and Kite.
A B
D C
A rhombus is exactly like a kite :-
It has adjacent sides equal .
Opposite angles are equal .
Diagonals intersect each other at 90 degrees .
One diagonal bisects the other .
Thus we conclude that rhombus is a special type of quadrilateral
which is a parallelogram as well as a kite.

10. THANK YOU