Transcript
Page 1: 11X1 T08 04 quadrilateral family (2011)

The Quadrilateral Family

Quadrilateral

KiteTrapezium

Parallelogram

Rhombus RectangleSquare

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

Quadrilateral

KiteTrapezium

Parallelogram

Rhombus RectangleSquare

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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

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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

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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

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Quadrilateral

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Quadrilateral* has 4 sides

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Quadrilateral* has 4 sides* has 4 angles

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

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

Kite

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

Kite* adjacent sides in a kite are =

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

Kite

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

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

Kite

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

xy21Area *

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

Kite

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

xy21Area *

Trapezium

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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

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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 *

Page 17: 11X1 T08 04 quadrilateral family (2011)

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

Page 18: 11X1 T08 04 quadrilateral family (2011)

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

Page 19: 11X1 T08 04 quadrilateral family (2011)

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 *

Page 20: 11X1 T08 04 quadrilateral family (2011)

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*

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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*

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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*

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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

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ParallelogramKite

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ParallelogramKite

Rectangle

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ParallelogramKite

Rectangle90 rectangle ain s' *

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ParallelogramKite

Rectangle90 rectangle ain s' *

* diagonals in a rectangle are =

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ParallelogramKite

Rectangle90 rectangle ain s' *

* diagonals in a rectangle are =lbArea *

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ParallelogramKite

Rectangle90 rectangle ain s' *

* diagonals in a rectangle are =lbArea *

Rhombus

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ParallelogramKite

Rectangle90 rectangle ain s' *

* diagonals in a rectangle are =lbArea *

Rhombus* diagonals in a rhombus bisect vertex

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ParallelogramKite

Rectangle90 rectangle ain s' *

* diagonals in a rectangle are =lbArea *

Rhombus* diagonals in a rhombus bisect vertex

Square

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ParallelogramKite

Rectangle90 rectangle ain s' *

* diagonals in a rectangle are =lbArea *

Rhombus* diagonals in a rhombus bisect vertex

Square2Area* s

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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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