11X1 T07 04 quadrilateral family (2010)
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Transcript of 11X1 T07 04 quadrilateral family (2010)
![Page 1: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/1.jpg)
The Quadrilateral Family
Quadrilateral
KiteTrapezium
Parallelogram
Rhombus RectangleSquare
![Page 2: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/2.jpg)
The Quadrilateral FamilyQuadrilaterals can be classified according to the features they possess.
Quadrilateral
KiteTrapezium
Parallelogram
Rhombus RectangleSquare
![Page 3: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/3.jpg)
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
![Page 4: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/4.jpg)
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
![Page 5: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/5.jpg)
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
![Page 6: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/6.jpg)
Quadrilateral
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Quadrilateral* has 4 sides
![Page 8: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/8.jpg)
Quadrilateral* has 4 sides* has 4 angles
![Page 9: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/9.jpg)
Quadrilateral* has 4 sides* has 4 angles* no specific properties
![Page 10: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/10.jpg)
Quadrilateral* has 4 sides* has 4 angles* no specific properties
Kite
![Page 11: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/11.jpg)
Quadrilateral* has 4 sides* has 4 angles* no specific properties
Kite* adjacent sides in a kite are =
![Page 12: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/12.jpg)
Quadrilateral* has 4 sides* has 4 angles* no specific properties
Kite
arekite ain diagonals ** adjacent sides in a kite are =
![Page 13: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/13.jpg)
Quadrilateral* has 4 sides* has 4 angles* no specific properties
Kite
arekite ain diagonals ** adjacent sides in a kite are =
xy21Area *
![Page 14: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/14.jpg)
Quadrilateral* has 4 sides* has 4 angles* no specific properties
Kite
arekite ain diagonals ** adjacent sides in a kite are =
xy21Area *
Trapezium
![Page 15: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/15.jpg)
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
![Page 16: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/16.jpg)
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 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/17.jpg)
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 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/18.jpg)
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 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/19.jpg)
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 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/20.jpg)
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*
![Page 21: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/21.jpg)
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*
![Page 22: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/22.jpg)
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*
![Page 23: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/23.jpg)
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
![Page 24: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/24.jpg)
ParallelogramKite
![Page 25: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/25.jpg)
ParallelogramKite
Rectangle
![Page 26: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/26.jpg)
ParallelogramKite
Rectangle90 rectangle ain s' *
![Page 27: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/27.jpg)
ParallelogramKite
Rectangle90 rectangle ain s' *
* diagonals in a rectangle are =
![Page 28: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/28.jpg)
ParallelogramKite
Rectangle90 rectangle ain s' *
* diagonals in a rectangle are =lbArea *
![Page 29: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/29.jpg)
ParallelogramKite
Rectangle90 rectangle ain s' *
* diagonals in a rectangle are =lbArea *
Rhombus
![Page 30: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/30.jpg)
ParallelogramKite
Rectangle90 rectangle ain s' *
* diagonals in a rectangle are =lbArea *
Rhombus* diagonals in a rhombus bisect vertex
![Page 31: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/31.jpg)
ParallelogramKite
Rectangle90 rectangle ain s' *
* diagonals in a rectangle are =lbArea *
Rhombus* diagonals in a rhombus bisect vertex
Square
![Page 32: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/32.jpg)
ParallelogramKite
Rectangle90 rectangle ain s' *
* diagonals in a rectangle are =lbArea *
Rhombus* diagonals in a rhombus bisect vertex
Square2Area* s
![Page 33: 11X1 T07 04 quadrilateral family (2010)](https://reader033.fdocuments.in/reader033/viewer/2022052323/558977f0d8b42a491e8b459b/html5/thumbnails/33.jpg)
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