1 press ctrl-a ©g dear2008 – not to be sold/free to use quadrilaterals stage 6 - year 11...

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1 Press Ctrl-A Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Quadrilaterals Quadrilaterals Stage 6 - Year 11 Stage 6 - Year 11 Mathematic (Preliminary)

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Page 1: 1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Quadrilaterals Stage 6 - Year 11 Mathematic (Preliminary)

1Press Ctrl-APress Ctrl-A

©G Dear2008 – Not to be sold/Free to use

QuadrilateralsQuadrilateralsStage 6 - Year 11Stage 6 - Year 11

Mathematic(Preliminary)

Page 2: 1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Quadrilaterals Stage 6 - Year 11 Mathematic (Preliminary)

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Quadrilaterals - Definition

Any four sided figure

Page 3: 1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Quadrilaterals Stage 6 - Year 11 Mathematic (Preliminary)

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Quadrilaterals - Square

•All sides are equal length•All angles are equal (90o)•Opposite sides are parallel•Diagonals bisect each other

at 90o.•Diagonals bisect corners (45o)

45o

Square Dancing

Page 4: 1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Quadrilaterals Stage 6 - Year 11 Mathematic (Preliminary)

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Quadrilaterals - Rectangle

GoldenRectangle

•Opposite sides - equal length•All angles are equal (90o)•Opposite sides are parallel•Diagonals bisect each other•Diagonals are equal in length.

Page 5: 1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Quadrilaterals Stage 6 - Year 11 Mathematic (Preliminary)

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Quadrilaterals - Rhombus

•All sides are equal length•opposite angles are equal•Opposite sides are parallel•Diagonals bisect each other

at 90o.Golden Rhombus

ab

= 1.618

ab

Page 6: 1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Quadrilaterals Stage 6 - Year 11 Mathematic (Preliminary)

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Quadrilaterals - Parallelogram

•Opposite side are equal length•Opposite angles are equal•Opposite sides are parallel•Diagonals bisect each other

making congruent triangles

Page 7: 1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Quadrilaterals Stage 6 - Year 11 Mathematic (Preliminary)

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Quadrilateral - Trapezium

•One, and only one, pair of parallel sides

School Desks

Two TrianglesPress

Page 8: 1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Quadrilaterals Stage 6 - Year 11 Mathematic (Preliminary)

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Quadrilateral - Kite

•Two pairs of equal adjacent sides•One pairs of equal angles