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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
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
