The power point explains the concept of quadrilaterals and its types.It covers square,rhombus,rectangle,parellalogram.

2. NEGATIVE EXAMPLES POSITIVE EXAMPLES

3. TYPES OF
QUADRILATERALS

4. • The origin of the word “quadrilateral” is the
two latin words
quadr i - a variant of four
&
• latus – side
• A closed four sided figure is called a quadrilateral
• A quadrilateral is a polygon that has exactly
four sides, exactly
four vertices & exactly four angles.

5. RECTANGLE
TRAPEZIUM
PARALLELOGRAM
SQUARE
RHOMBUS

6. Side AB = Side BC =Side CD =Side AD
<A = < B = <C = <D = 90°

7. A quadrilateral with all sides
congruent and each angle a
right angle is called a square.

8. l (AC) = l (BD)
l (AO) = l (OC) , l (BO) = l (OD)
m <AOD = m <DOC = m <BOC = m <BOA = 90°

9. <P = <Q = <R = <S = 90°
Side PQ = Side SR , Side PS = Side QR

10. A quadrilateral with each angle
a right angle and opposite sides
congruent is called a rectangle.

11. Side PQ = Side SR , Side PS = Side QR
Diagonal PR = Diagonal QS
l (PO) = l (OR) , l (SO) = l (OQ)

12. Side PQ = Side QR = Side RS = Side PS

13. A quadrilateral having all
sides congruent is called a
rhombus.

14. PROPERTIES OF A RHOMBUS
l (PO) = l (OR) , l (QO) = l (OS)
m <POS = m <SOR = m <ROQ = m <QOP = 90°
m <SPQ = m <SRQ , m <PSR = m <PQR

15. B
D
C
Side AB // Side CD , Side AD // Side BC

16. A quadrilateral which has
opposite sides parallel is
called a parallelogram.

17. B
Seg AB = Seg DC , Seg AD = Seg BC.
l( AO) = l(CO) , l(BO) = l(DO)
< A = < C , < B = <D.
D
C
O

18. RECAPITULATION
Sr.
no. Quadrilaterals
Properties of quadrilaterals
1)
1) The diagonals of a square are congruent.
2) The diagonals of a square bisect each other.
3) Each diagonal of a square is the perpendicular
Square bisector of the other.
2)
Rectangle
1) The opposite sides of a rectangle are congruent.
2) The diagonals of a rectangle are congruent.
3) The diagonals of a rectangle bisect each other.

19. Sr.
no. Quadrilaterals
CONTD…
Properties of quadrilaterals
3)
1) The diagonals of a rhombus bisect each other.
2) Each diagonal of a rhombus is the perpendicular
bisector of the other.
3) The opposite angles of a rhombus are equal.
4)
1) The opposite sides of a parallelogram are congruent.
2) The opposite angles of a parallelogram are congruent.
3) The diagonals of a parallelogram bisect each other.
Parallelogram

20. evaluation
A) Define quadrilaterals?
B) State the properties of a rectangle?
C) State the properties of a rhombus?
D) Look at the figure of the rhombus and answer the following
questions
A
B C
D
O
1) Length of side AD = 4cm. Then what are the
Lengths of sides AB, BC, CD ?
2) m<AOD = ?
3) IF l(BO) =2.5 , THEN l(BD) = ?