Maths pr


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K J Somiaya Comprehensive College of education. PPT presentation of CAP

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Maths pr

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