11 X1 T06 04 Quadrilateral Family

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

are kite ain diagonals *

* adjacent sides in a kite are =

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

Kite

are kite ain diagonals *

* adjacent sides in a kite are =

xy21

Area *

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

Kite

are kite ain diagonals *

* adjacent sides in a kite are =

xy21

Area *

Trapezium

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

Kite

are kite ain diagonals *

* adjacent sides in a kite are =

xy21

Area *

Trapezium* one pair of parallel sides

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

Kite

are kite ain diagonals *

* adjacent sides in a kite are =

xy21

Area *

Trapezium* one pair of parallel sides

bah 21

Area *

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

Kite

are kite ain diagonals *

* adjacent sides in a kite are =

xy21

Area *

Trapezium* one pair of parallel sides

bah 21

Area *

Parallelogram

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

Kite

are kite ain diagonals *

* adjacent sides in a kite are =

xy21

Area *

Trapezium* one pair of parallel sides

bah 21

Area *

Parallelogram* two pairs of parallel sides

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

Kite

are kite ain diagonals *

* adjacent sides in a kite are =

xy21

Area *

Trapezium* one pair of parallel sides

bah 21

Area *

Parallelogram* two pairs of parallel sides

are gram|| ain sides opposite *

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

Kite

are kite ain diagonals *

* adjacent sides in a kite are =

xy21

Area *

Trapezium* one pair of parallel sides

bah 21

Area *

Parallelogram* two pairs of parallel sides

are gram|| ain sides opposite * are gram|| ain s' opposite *

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

Kite

are kite ain diagonals *

* adjacent sides in a kite are =

xy21

Area *

Trapezium* one pair of parallel sides

bah 21

Area *

Parallelogram* two pairs of parallel sides

are gram|| ain sides opposite *

bisect gram|| ain diagonals * are gram|| ain s' opposite *

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

Kite

are kite ain diagonals *

* adjacent sides in a kite are =

xy21

Area *

Trapezium* one pair of parallel sides

bah 21

Area *

Parallelogram* two pairs of parallel sides

are gram|| ain sides opposite *

bisect gram|| ain diagonals *

bhArea *

are gram|| ain s' opposite *

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

Kite

are kite ain diagonals *

* adjacent sides in a kite are =

xy21

Area *

Trapezium* one pair of parallel sides

bah 21

Area *

Parallelogram* two pairs of parallel sides

are gram|| ain sides opposite *

bisect gram|| ain diagonals *

bhArea *

are gram|| 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