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