11X1 T07 04 quadrilateral family (2010)

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  • 1. The Quadrilateral Family Quadrilateral Trapezium Kite Parallelogram Rhombus Rectangle Square
  • 2. The Quadrilateral Family Quadrilaterals can be classified according to the features they possess. Quadrilateral Trapezium Kite Parallelogram Rhombus Rectangle Square
  • 3. The Quadrilateral Family Quadrilaterals can be classified according to the features they possess. As you branch down the quadrilateral family, the quadrilaterals become more specialised in their features. Quadrilateral Trapezium Kite Parallelogram Rhombus Rectangle Square
  • 4. The Quadrilateral Family Quadrilaterals can be classified according to the features they possess. As you branch down the quadrilateral family, the quadrilaterals become more specialised in their features. Any property that you know about the quadrilaterals a particular shape has branched from can be used for that quadrilateral as well as the specific properties for that shape. Quadrilateral Trapezium Kite Parallelogram Rhombus Rectangle Square
  • 5. The Quadrilateral Family Quadrilaterals can be classified according to the features they possess. As you branch down the quadrilateral family, the quadrilaterals become more specialised in their features. Any property that you know about the quadrilaterals a particular shape has branched from can be used for that quadrilateral as well as the specific properties for that shape. e.g. a rhombus has the properties of a rhombus, parallelogram, trapezium, kite and quadrilateral. Quadrilateral Trapezium Kite Parallelogram Rhombus Rectangle Square
  • 6. Quadrilateral
  • 7. Quadrilateral * has 4 sides
  • 8. Quadrilateral * has 4 sides * has 4 angles
  • 9. Quadrilateral * has 4 sides * has 4 angles * no specific properties
  • 10. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite
  • 11. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite * adjacent sides in a kite are =
  • 12. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite * adjacent sides in a kite are = * diagonals in a kite are 
  • 13. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite * adjacent sides in a kite are = * diagonals in a kite are  1 * Area  xy 2
  • 14. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite Trapezium * adjacent sides in a kite are = * diagonals in a kite are  1 * Area  xy 2
  • 15. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite Trapezium * adjacent sides in a kite are = * one pair of parallel sides * diagonals in a kite are  1 * Area  xy 2
  • 16. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite Trapezium * adjacent sides in a kite are = * one pair of parallel sides 1 * diagonals in a kite are  * Area  ha  b  1 2 * Area  xy 2
  • 17. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite Trapezium * adjacent sides in a kite are = * one pair of parallel sides 1 * diagonals in a kite are  * Area  ha  b  1 2 * Area  xy 2 Parallelogram
  • 18. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite Trapezium * adjacent sides in a kite are = * one pair of parallel sides 1 * diagonals in a kite are  * Area  ha  b  1 2 * Area  xy 2 Parallelogram * two pairs of parallel sides
  • 19. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite Trapezium * adjacent sides in a kite are = * one pair of parallel sides 1 * diagonals in a kite are  * Area  ha  b  1 2 * Area  xy 2 Parallelogram * two pairs of parallel sides * opposite sides in a || gram are 
  • 20. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite Trapezium * adjacent sides in a kite are = * one pair of parallel sides 1 * diagonals in a kite are  * Area  ha  b  1 2 * Area  xy 2 Parallelogram * two pairs of parallel sides * opposite sides in a || gram are  * opposite ' s in a || gram are 
  • 21. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite Trapezium * adjacent sides in a kite are = * one pair of parallel sides 1 * diagonals in a kite are  * Area  ha  b  1 2 * Area  xy 2 Parallelogram * two pairs of parallel sides * opposite sides in a || gram are  * opposite ' s in a || gram are  * diagonals in a || gram bisect
  • 22. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite Trapezium * adjacent sides in a kite are = * one pair of parallel sides 1 * diagonals in a kite are  * Area  ha  b  1 2 * Area  xy 2 Parallelogram * two pairs of parallel sides * opposite sides in a || gram are  * opposite ' s in a || gram are  * diagonals in a || gram bisect * Area  bh
  • 23. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite Trapezium * adjacent sides in a kite are = * one pair of parallel sides 1 * diagonals in a kite are  * Area  ha  b  1 2 * Area  xy 2 Parallelogram * two pairs of parallel sides * opposite sides in a || gram are  * opposite ' s in a || gram are  * diagonals in a || gram bisect * Area  bh NOTE: if one pair of sides are both = and parallel, then shape is ||gram
  • 24. Kite Parallelogram
  • 25. Kite Parallelogram Rectangle
  • 26. Kite Parallelogram Rectangle * ' s in a rectangle  90
  • 27. Kite Parallelogram Rectangle * ' s in a rectangle  90 * diagonals in a rectangle are =
  • 28. Kite Parallelogram Rectangle * ' s in a rectangle  90 * diagonals in a rectangle are = * Area  lb
  • 29. Kite Parallelogram Rectangle * ' s in a rectangle  90 * diagonals in a rectangle are = * Area  lb Rhombus
  • 30. Kite Parallelogram Rectangle * ' s in a rectangle  90 * diagonals in a rectangle are = * Area  lb Rhombus * diagonals in a rhombus bisect vertex
  • 31. Kite Parallelogram Rectangle * ' s in a rectangle  90 * diagonals in a rectangle are = * Area  lb Rhombus * diagonals in a rhombus bisect vertex Square
  • 32. Kite Parallelogram Rectangle * ' s in a rectangle  90 * diagonals in a rectangle are = * Area  lb Rhombus * diagonals in a rhombus bisect vertex Square * Area  s 2
  • 33. Exercise 8D; 2bd, 5, 6, 9, 11, 12, 15, 20* Exercise 8E; 2a, 3, 7, 9, 10b, 15a, 16, 17, 19, 21* Exercise 8F; 4, 5, 12, 13