The document discusses the quadrilateral family and how quadrilaterals are classified based on their properties. It presents the hierarchy of quadrilaterals from most general to most specific: quadrilateral, kite, trapezium, parallelogram, rectangle, rhombus, and square. Each more specific quadrilateral inherits the properties of those above it in the hierarchy. For example, a rhombus has the properties of a quadrilateral, kite, trapezium, parallelogram, and rectangle.

1. The Quadrilateral Family Quadrilateral Kite Trapezium Parallelogram Rhombus Rectangle Square

2. The Quadrilateral Family Quadrilaterals can be classified according to the features they possess. Quadrilateral Kite Trapezium 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 Kite Trapezium 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 Kite Trapezium 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 Kite Trapezium 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 =

13. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite * adjacent sides in a kite are =

14. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite * adjacent sides in a kite are = Trapezium

15. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite * adjacent sides in a kite are = Trapezium * one pair of parallel sides

16. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite * adjacent sides in a kite are = Trapezium * one pair of parallel sides

17. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite * adjacent sides in a kite are = Trapezium * one pair of parallel sides Parallelogram

18. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite * adjacent sides in a kite are = Trapezium * one pair of parallel sides Parallelogram * two pairs of parallel sides

19. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite * adjacent sides in a kite are = Trapezium * one pair of parallel sides Parallelogram * two pairs of parallel sides

20. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite * adjacent sides in a kite are = Trapezium * one pair of parallel sides Parallelogram * two pairs of parallel sides

21. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite * adjacent sides in a kite are = Trapezium * one pair of parallel sides Parallelogram * two pairs of parallel sides

22. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite * adjacent sides in a kite are = Trapezium * one pair of parallel sides Parallelogram * two pairs of parallel sides

23. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite * adjacent sides in a kite are = Trapezium * one pair of parallel sides Parallelogram * two pairs of parallel sides NOTE: if one pair of sides are both = and parallel, then shape is ||gram

24. Parallelogram Kite

25. Parallelogram Kite Rectangle

26. Parallelogram Kite Rectangle

27. Parallelogram Kite Rectangle * diagonals in a rectangle are =

28. Parallelogram Kite Rectangle * diagonals in a rectangle are =

29. Parallelogram Kite Rectangle * diagonals in a rectangle are = Rhombus

30. Parallelogram Kite Rectangle * diagonals in a rectangle are = Rhombus * diagonals in a rhombus bisect vertex

31. Parallelogram Kite Rectangle * diagonals in a rectangle are = Rhombus * diagonals in a rhombus bisect vertex Square

32. Parallelogram Kite Rectangle * diagonals in a rectangle are = Rhombus * diagonals in a rhombus bisect vertex Square

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