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The Quadrilateral Family
Quadrilateral
Kite
Trapezium
Parallelogram
Rhombus Rectangle
Square
The Quadrilateral Family
Quadrilaterals can be classified according to the features they possess.
Quadrilateral
Kite
Trapezium
Parallelogram
Rhombus Rectangle
Square
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
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
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
Quadrilateral
Quadrilateral
* has 4 sides
Quadrilateral
* has 4 sides
* has 4 angles
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Kite
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Kite
* adjacent sides in a kite are =
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Kite
arekiteaindiagonals*
* adjacent sides in a kite are =
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Kite
arekiteaindiagonals*
* adjacent sides in a kite are =
xy
2
1
Area* 
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Kite
arekiteaindiagonals*
* adjacent sides in a kite are =
xy
2
1
Area* 
Trapezium
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Kite
arekiteaindiagonals*
* adjacent sides in a kite are =
xy
2
1
Area* 
Trapezium
* one pair of parallel sides
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Kite
arekiteaindiagonals*
* adjacent sides in a kite are =
xy
2
1
Area* 
Trapezium
* one pair of parallel sides
 bah 
2
1
Area*
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Kite
arekiteaindiagonals*
* adjacent sides in a kite are =
xy
2
1
Area* 
Trapezium
* one pair of parallel sides
 bah 
2
1
Area*
Parallelogram
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Kite
arekiteaindiagonals*
* adjacent sides in a kite are =
xy
2
1
Area* 
Trapezium
* one pair of parallel sides
 bah 
2
1
Area*
Parallelogram
* two pairs of parallel sides
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Kite
arekiteaindiagonals*
* adjacent sides in a kite are =
xy
2
1
Area* 
Trapezium
* one pair of parallel sides
 bah 
2
1
Area*
Parallelogram
* two pairs of parallel sides
aregram||ainsidesopposite*
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Kite
arekiteaindiagonals*
* adjacent sides in a kite are =
xy
2
1
Area* 
Trapezium
* one pair of parallel sides
 bah 
2
1
Area*
Parallelogram
* two pairs of parallel sides
aregram||ainsidesopposite*
 aregram||ains'opposite*
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Kite
arekiteaindiagonals*
* adjacent sides in a kite are =
xy
2
1
Area* 
Trapezium
* one pair of parallel sides
 bah 
2
1
Area*
Parallelogram
* two pairs of parallel sides
aregram||ainsidesopposite*
bisectgram||aindiagonals*
 aregram||ains'opposite*
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Kite
arekiteaindiagonals*
* adjacent sides in a kite are =
xy
2
1
Area* 
Trapezium
* one pair of parallel sides
 bah 
2
1
Area*
Parallelogram
* two pairs of parallel sides
aregram||ainsidesopposite*
bisectgram||aindiagonals*
bhArea*
 aregram||ains'opposite*
Quadrilateral
* has 4 sides
* has 4 angles
* no specific properties
Kite
arekiteaindiagonals*
* adjacent sides in a kite are =
xy
2
1
Area* 
Trapezium
* one pair of parallel sides
 bah 
2
1
Area*
Parallelogram
* two pairs of parallel sides
aregram||ainsidesopposite*
bisectgram||aindiagonals*
bhArea*
 aregram||ains'opposite*
NOTE: if one pair of sides are both
= and parallel, then shape is ||gram
ParallelogramKite
ParallelogramKite
Rectangle
ParallelogramKite
Rectangle

90rectangleains'* 
ParallelogramKite
Rectangle

90rectangleains'* 
* diagonals in a rectangle are =
ParallelogramKite
Rectangle

90rectangleains'* 
* diagonals in a rectangle are =
lbArea*
ParallelogramKite
Rectangle

90rectangleains'* 
* diagonals in a rectangle are =
lbArea*
Rhombus
ParallelogramKite
Rectangle

90rectangleains'* 
* diagonals in a rectangle are =
lbArea*
Rhombus
* diagonals in a rhombus bisect vertex
ParallelogramKite
Rectangle

90rectangleains'* 
* diagonals in a rectangle are =
lbArea*
Rhombus
* diagonals in a rhombus bisect vertex
Square
ParallelogramKite
Rectangle

90rectangleains'* 
* diagonals in a rectangle are =
lbArea*
Rhombus
* diagonals in a rhombus bisect vertex
Square
2
Area* s
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

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SOC 101 Demonstration of Learning PresentationSOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning Presentation
 

11 x1 t07 04 quadrilateral family (2013)

  • 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
  • 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 arekiteaindiagonals* * adjacent sides in a kite are =
  • 13. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite arekiteaindiagonals* * adjacent sides in a kite are = xy 2 1 Area* 
  • 14. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite arekiteaindiagonals* * adjacent sides in a kite are = xy 2 1 Area*  Trapezium
  • 15. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite arekiteaindiagonals* * adjacent sides in a kite are = xy 2 1 Area*  Trapezium * one pair of parallel sides
  • 16. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite arekiteaindiagonals* * adjacent sides in a kite are = xy 2 1 Area*  Trapezium * one pair of parallel sides  bah  2 1 Area*
  • 17. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite arekiteaindiagonals* * adjacent sides in a kite are = xy 2 1 Area*  Trapezium * one pair of parallel sides  bah  2 1 Area* Parallelogram
  • 18. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite arekiteaindiagonals* * adjacent sides in a kite are = xy 2 1 Area*  Trapezium * one pair of parallel sides  bah  2 1 Area* Parallelogram * two pairs of parallel sides
  • 19. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite arekiteaindiagonals* * adjacent sides in a kite are = xy 2 1 Area*  Trapezium * one pair of parallel sides  bah  2 1 Area* Parallelogram * two pairs of parallel sides aregram||ainsidesopposite*
  • 20. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite arekiteaindiagonals* * adjacent sides in a kite are = xy 2 1 Area*  Trapezium * one pair of parallel sides  bah  2 1 Area* Parallelogram * two pairs of parallel sides aregram||ainsidesopposite*  aregram||ains'opposite*
  • 21. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite arekiteaindiagonals* * adjacent sides in a kite are = xy 2 1 Area*  Trapezium * one pair of parallel sides  bah  2 1 Area* Parallelogram * two pairs of parallel sides aregram||ainsidesopposite* bisectgram||aindiagonals*  aregram||ains'opposite*
  • 22. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite arekiteaindiagonals* * adjacent sides in a kite are = xy 2 1 Area*  Trapezium * one pair of parallel sides  bah  2 1 Area* Parallelogram * two pairs of parallel sides aregram||ainsidesopposite* bisectgram||aindiagonals* bhArea*  aregram||ains'opposite*
  • 23. Quadrilateral * has 4 sides * has 4 angles * no specific properties Kite arekiteaindiagonals* * adjacent sides in a kite are = xy 2 1 Area*  Trapezium * one pair of parallel sides  bah  2 1 Area* Parallelogram * two pairs of parallel sides aregram||ainsidesopposite* bisectgram||aindiagonals* bhArea*  aregram||ains'opposite* NOTE: if one pair of sides are both = and parallel, then shape is ||gram
  • 30. ParallelogramKite Rectangle  90rectangleains'*  * diagonals in a rectangle are = lbArea* Rhombus * diagonals in a rhombus bisect vertex
  • 31. ParallelogramKite Rectangle  90rectangleains'*  * diagonals in a rectangle are = lbArea* Rhombus * diagonals in a rhombus bisect vertex Square
  • 32. ParallelogramKite Rectangle  90rectangleains'*  * diagonals in a rectangle are = lbArea* Rhombus * diagonals in a rhombus bisect vertex Square 2 Area* s
  • 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