11 x1 t07 04 quadrilateral family (2012)

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  • The Quadrilateral Family

    Quadrilateral

    KiteTrapezium

    Parallelogram

    Rhombus RectangleSquare

  • The Quadrilateral FamilyQuadrilaterals can be classified according to the features they possess.

    Quadrilateral

    KiteTrapezium

    Parallelogram

    Rhombus RectangleSquare

  • The Quadrilateral FamilyQuadrilaterals 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

    KiteTrapezium

    Parallelogram

    Rhombus RectangleSquare

  • The Quadrilateral FamilyQuadrilaterals 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

    KiteTrapezium

    Parallelogram

    Rhombus RectangleSquare

  • The Quadrilateral FamilyQuadrilaterals 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

    KiteTrapezium

    Parallelogram

    Rhombus RectangleSquare

  • 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

    arekite ain diagonals ** adjacent sides in a kite are =

  • Quadrilateral* has 4 sides* has 4 angles* no specific properties

    Kite

    arekite ain diagonals ** adjacent sides in a kite are =

    xy21Area *

  • Quadrilateral* has 4 sides* has 4 angles* no specific properties

    Kite

    arekite ain diagonals ** adjacent sides in a kite are =

    xy21Area *

    Trapezium

  • Quadrilateral* has 4 sides* has 4 angles* no specific properties

    Kite

    arekite ain diagonals ** adjacent sides in a kite are =

    xy21Area *

    Trapezium* one pair of parallel sides

  • Quadrilateral* has 4 sides* has 4 angles* no specific properties

    Kite

    arekite ain diagonals ** adjacent sides in a kite are =

    xy21Area *

    Trapezium* one pair of parallel sides

    bah 21Area *

  • Quadrilateral* has 4 sides* has 4 angles* no specific properties

    Kite

    arekite ain diagonals ** adjacent sides in a kite are =

    xy21Area *

    Trapezium* one pair of parallel sides

    bah 21Area *

    Parallelogram

  • Quadrilateral* has 4 sides* has 4 angles* no specific properties

    Kite

    arekite ain diagonals ** adjacent sides in a kite are =

    xy21Area *

    Trapezium* one pair of parallel sides

    bah 21Area *

    Parallelogram* two pairs of parallel sides

  • Quadrilateral* has 4 sides* has 4 angles* no specific properties

    Kite

    arekite ain diagonals ** adjacent sides in a kite are =

    xy21Area *

    Trapezium* one pair of parallel sides

    bah 21Area *

    Parallelogram* two pairs of parallel sides

    aregram||ain sidesopposite *

  • Quadrilateral* has 4 sides* has 4 angles* no specific properties

    Kite

    arekite ain diagonals ** adjacent sides in a kite are =

    xy21Area *

    Trapezium* one pair of parallel sides

    bah 21Area *

    Parallelogram* two pairs of parallel sides

    aregram||ain sidesopposite * aregram||ain s'opposite*

  • Quadrilateral* has 4 sides* has 4 angles* no specific properties

    Kite

    arekite ain diagonals ** adjacent sides in a kite are =

    xy21Area *

    Trapezium* one pair of parallel sides

    bah 21Area *

    Parallelogram* two pairs of parallel sides

    aregram||ain sidesopposite *

    bisectgram||ain diagonals * aregram||ain s'opposite*

  • Quadrilateral* has 4 sides* has 4 angles* no specific properties

    Kite

    arekite ain diagonals ** adjacent sides in a kite are =

    xy21Area *

    Trapezium* one pair of parallel sides

    bah 21Area *

    Parallelogram* two pairs of parallel sides

    aregram||ain sidesopposite *

    bisectgram||ain diagonals *bhArea *

    aregram||ain s'opposite*

  • Quadrilateral* has 4 sides* has 4 angles* no specific properties

    Kite

    arekite ain diagonals ** adjacent sides in a kite are =

    xy21Area *

    Trapezium* one pair of parallel sides

    bah 21Area *

    Parallelogram* two pairs of parallel sides

    aregram||ain sidesopposite *

    bisectgram||ain diagonals *bhArea *

    aregram||ain s'opposite*

    NOTE: if one pair of sides are both = and parallel, then shape is ||gram

  • ParallelogramKite

  • ParallelogramKite

    Rectangle

  • ParallelogramKite

    Rectangle90 rectangle ain s' *

  • ParallelogramKite

    Rectangle90 rectangle ain s' *

    * diagonals in a rectangle are =

  • ParallelogramKite

    Rectangle90 rectangle ain s' *

    * diagonals in a rectangle are =lbArea *

  • ParallelogramKite

    Rectangle90 rectangle ain s' *

    * diagonals in a rectangle are =lbArea *

    Rhombus

  • ParallelogramKite

    Rectangle90 rectangle ain s' *

    * diagonals in a rectangle are =lbArea *

    Rhombus* diagonals in a rhombus bisect vertex

  • ParallelogramKite

    Rectangle90 rectangle ain s' *

    * diagonals in a rectangle are =lbArea *

    Rhombus* diagonals in a rhombus bisect vertex

    Square

  • ParallelogramKite

    Rectangle90 rectangle ain s' *

    * diagonals in a rectangle are =lbArea *

    Rhombus* diagonals in a rhombus bisect vertex

    Square2Area* 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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