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Types of Quadrilateral Sharmin   Nayek Roll no 42 B.ED -2010-2011
Content Definition of Quadrilateral Types of Quadrilaterals Properties of different Quadrilaterals
Quadrilateral just means "four sides"  ( quad   means four,  lateral  means side).  Any four-sided shape is a Quadrilateral  But the sides have to be  straight , and it has to be  2-dimensional . Quadrilaterals                                                                                    
Types of Quadrilateral There are special types of Quadrilateral
SQUARE Definition -A quadrilateral with all congruent sides & each angle a right angle is called a  Square A B C D ABCD  is square
Properties of Square Square has  equal sides Every angle is  right angle Opposite sides are  parallel Diagonals of square are  congruent Diagonals of square  bisect each other Each diagonal of square is  perpendicular bisector of the other. A B C D O
Rectangle A quadrilateral with each angle a right angle and opposite side congruent is called a rectangle. A B C D
Properties of   rectangle Every angle is  right angle Opposite sides are  congruent Opposites sides are  parallel Diagonals of rectangle are  congruent Diagonals of rectangle  bisect each other O A B C D
RHOMBUS A quadrilateral having all sides congruent is called a rhombus.
Properties of Rhombus All sides are congruent Opposite angles are equal Opposite sides are parallel The diagonals of a rhombus bisect each other Each diagonals of a rhombus is the perpendicular bisector of the other.
PARALLELOGRAM A quadrilateral which has opposite sides parallel is called a parallelogram.
Properties of Parallelogram Opposite sides are parallel Opposite sides of parallelogram are congruent Opposites angles of parallelogram are congruent Diagonals of parallelogram bisect each other.
TRAPEZIUM The quadrilateral in which only one pair of opposite sides is parallel is called trapezium.
Properties of Trapezium Only one pair of opposite side is parallel.
KITE A quadrilateral in which there are two pairs of sides & each pair is made up of adjacent sides that are equal in length is called kite.
Properties of Kite Adjacent sides are congruent One of the diagonal bisect the other Each diagonal is perpendicular bisector to other.
Fact File Some types are also included in definition of other type ! For example A square also fits in definition of rectangle (all angles are 90 º ) A rectangle also fits in definition of parallelogram (opposite sides are equal in length)
EVALUATION ABCD is square m AOB = ? a) Ans: 90º ABCD is rectangle If l(AC)=5cm then l(BD)= ? Ans: 5cm
c)  ABCD is rhombus if l(DO)=2cm then l(DB)=?   Ans: 4cm
THANK  YOU

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Maths pr

  • 1. 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4
  • 2. Types of Quadrilateral Sharmin Nayek Roll no 42 B.ED -2010-2011
  • 3. Content Definition of Quadrilateral Types of Quadrilaterals Properties of different Quadrilaterals
  • 4. Quadrilateral just means "four sides"  ( quad   means four,  lateral  means side). Any four-sided shape is a Quadrilateral But the sides have to be  straight , and it has to be  2-dimensional . Quadrilaterals                                                                                    
  • 5. Types of Quadrilateral There are special types of Quadrilateral
  • 6. SQUARE Definition -A quadrilateral with all congruent sides & each angle a right angle is called a Square A B C D ABCD is square
  • 7. Properties of Square Square has equal sides Every angle is right angle Opposite sides are parallel Diagonals of square are congruent Diagonals of square bisect each other Each diagonal of square is perpendicular bisector of the other. A B C D O
  • 8. Rectangle A quadrilateral with each angle a right angle and opposite side congruent is called a rectangle. A B C D
  • 9. Properties of rectangle Every angle is right angle Opposite sides are congruent Opposites sides are parallel Diagonals of rectangle are congruent Diagonals of rectangle bisect each other O A B C D
  • 10. RHOMBUS A quadrilateral having all sides congruent is called a rhombus.
  • 11. Properties of Rhombus All sides are congruent Opposite angles are equal Opposite sides are parallel The diagonals of a rhombus bisect each other Each diagonals of a rhombus is the perpendicular bisector of the other.
  • 12. PARALLELOGRAM A quadrilateral which has opposite sides parallel is called a parallelogram.
  • 13. Properties of Parallelogram Opposite sides are parallel Opposite sides of parallelogram are congruent Opposites angles of parallelogram are congruent Diagonals of parallelogram bisect each other.
  • 14. TRAPEZIUM The quadrilateral in which only one pair of opposite sides is parallel is called trapezium.
  • 15. Properties of Trapezium Only one pair of opposite side is parallel.
  • 16. KITE A quadrilateral in which there are two pairs of sides & each pair is made up of adjacent sides that are equal in length is called kite.
  • 17. Properties of Kite Adjacent sides are congruent One of the diagonal bisect the other Each diagonal is perpendicular bisector to other.
  • 18. Fact File Some types are also included in definition of other type ! For example A square also fits in definition of rectangle (all angles are 90 º ) A rectangle also fits in definition of parallelogram (opposite sides are equal in length)
  • 19. EVALUATION ABCD is square m AOB = ? a) Ans: 90º ABCD is rectangle If l(AC)=5cm then l(BD)= ? Ans: 5cm
  • 20. c) ABCD is rhombus if l(DO)=2cm then l(DB)=? Ans: 4cm