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Group A Group B
A B 
D C 
 mÐ A, ÐB, ÐC & ÐD = 90°. 
Sides AB, BC, CD & DA 
are CONGRUENT 
A quadrilateral with all congruent sides and 
each angle a right angle is called a square.
PROPERTIES OF SQUARE 
P Q 
O 
S R 
1] l (PR) = l (QS) 
Diagonals of square are 
congruent. 
2] l(PO) = l(OR) 
& 
l(SO)= l(OQ) 
The diagonals of a square 
bisect each other.
R S 
U T 
3] mÐROS = mÐSOT = mÐUOT 
= mÐUOR = 90°. 
It means that the diagonals of a 
square is perpendicular bisector of 
the other. 
Thus , each diagonals 
of a square is 
perpendicular bisector 
of the other. 
O
RECTANGLE 
A B 
D C 
Ž ABCD is a quadrilateral. 
mÐA , ÐB , ÐC , ÐD =90°. 
Ž ABCD is a rectangle. 
A quadrilateral with each angle a right 
angle is called a rectangle.
P Q 
R S 
1] In a Ž PQRS, 
Side PQ and side RS are 
congruent 
Similarly side PR and side QS 
are also congruent. 
Thus, it means that, 
Opposite sides of a 
rectangle are congruent. 
2] l(PS) = l(QS), 
The diagonals of the 
rectangle are congruent.
P Q 
O 
S R
TRAPEZIUM 
A B 
D C
PARALLELOGRAM 
R S 
U T 
In Ž RSTU, 
side RS is parallel to side UT 
& side RU is parallel to side ST.
PROPERTISE OF PARALLELOGRAM 
L M 
P N 
1] In Ž LMNP, 
seg. LM @ seg. PN, 
Similarly, seg LP @ seg MN 
Therefore, 
The opposite sides of a 
parallelogram are congruent. 
2]mÐL = mÐN & mÐP = mÐM 
Thus, 
The opposite angles of a 
parallelogram are congruent.
L M 
P N
Types of quadrilaterals
Types of quadrilaterals

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Types of quadrilaterals

  • 1.
  • 3. A B D C mÐ A, ÐB, ÐC & ÐD = 90°. Sides AB, BC, CD & DA are CONGRUENT A quadrilateral with all congruent sides and each angle a right angle is called a square.
  • 4. PROPERTIES OF SQUARE P Q O S R 1] l (PR) = l (QS) Diagonals of square are congruent. 2] l(PO) = l(OR) & l(SO)= l(OQ) The diagonals of a square bisect each other.
  • 5. R S U T 3] mÐROS = mÐSOT = mÐUOT = mÐUOR = 90°. It means that the diagonals of a square is perpendicular bisector of the other. Thus , each diagonals of a square is perpendicular bisector of the other. O
  • 6. RECTANGLE A B D C Ž ABCD is a quadrilateral. mÐA , ÐB , ÐC , ÐD =90°. Ž ABCD is a rectangle. A quadrilateral with each angle a right angle is called a rectangle.
  • 7. P Q R S 1] In a Ž PQRS, Side PQ and side RS are congruent Similarly side PR and side QS are also congruent. Thus, it means that, Opposite sides of a rectangle are congruent. 2] l(PS) = l(QS), The diagonals of the rectangle are congruent.
  • 8. P Q O S R
  • 10. PARALLELOGRAM R S U T In Ž RSTU, side RS is parallel to side UT & side RU is parallel to side ST.
  • 11. PROPERTISE OF PARALLELOGRAM L M P N 1] In Ž LMNP, seg. LM @ seg. PN, Similarly, seg LP @ seg MN Therefore, The opposite sides of a parallelogram are congruent. 2]mÐL = mÐN & mÐP = mÐM Thus, The opposite angles of a parallelogram are congruent.
  • 12. L M P N