# 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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