=. quadrilaterals a quadrilateral is any 4 sided polygon there are 6 different quadrilaterals square...
TRANSCRIPT
![Page 1: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/1.jpg)
=Quadrilaterals
Justine Amrowski
Jacob HilleyTony Politz
![Page 2: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/2.jpg)
QuadrilateralsA quadrilateral is any 4 sided polygon
There are 6 different quadrilaterals Square Rectangle Parallelogram TrapezoidRhombus Kite.
The internal angles of all quadrilaterals add to give 360o
![Page 3: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/3.jpg)
All Types of QuadrilateralsPolygons
Quadrilaterals
Parallelograms
Kites Trapezoids
Rectangles
Rhombi
IsoscelesTrapezoid
s
Squares
![Page 4: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/4.jpg)
Parallelograms
Parallelograms• A quadrilateral with parallel opposite sides.
• It is the "parent" of some other quadrilaterals, which are obtained by adding restrictions of various kinds.(http://www.mathopenref.com/parallelogram.html)
![Page 5: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/5.jpg)
ParallelogramsAre quadrilaterals with the following
properties:Opposite side are parallel.Opposite angles are congruent.Diagonals bisect each other.
![Page 6: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/6.jpg)
Rectangles1. Is a quadrilateral with four right
angles.2. Both pairs of opposite angles are congruent.3. A rectangle has all properties of all
parallelogram.4. Right angles make a rectangle a rigid figure.5. The diagonals are also congruent.6.
![Page 7: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/7.jpg)
RectanglesProperties
Opposite sides are parallel and congruent.The diagonals bisect each other.The diagonals are congruent.
![Page 8: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/8.jpg)
RhombusA special kind of square with all four sides
congruent.All properties of a parallelogram can be
applied to a rhombi.The diagonals of a rhombus are
perpendicular.
![Page 9: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/9.jpg)
RhombusProperties
A rhombus has all the properties of a parallelogram.All sides are congruent.Diagonals are perpendicular.Diagonals bisect the angles of the rhombus.
![Page 10: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/10.jpg)
SquaresIf a quadrilateral is both a rhombus and a rectangle it’s
a square.All properties of parallelograms and rectangles can be
applied.All sides of a square have the same length. The distance from one corner of a square to the
opposite corner is sometimes called the diagonal.
![Page 11: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/11.jpg)
SquaresProperties
A square has all the properties of a parallelogramA square has all properties of a rectangle.A square has all the properties of a rhombus.
![Page 12: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/12.jpg)
TrapezoidsA quadrilateral with exactly one pair of parallel sides.The parallel sides are called bases.The base angles are formed by a base and one of the
legs.The nonparallel sides are called legs.
![Page 13: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/13.jpg)
TrapezoidsProperties
Four sides.At least one pair of opposite sides are parallel.Angles between pairs of parallel sides are
supplementary.
![Page 14: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/14.jpg)
Isosceles trapezoidThe base angles of an isosceles trapezoid are
congruent.The diagonals of an isosceles trapezoid are congruent. The defining trait of this special type of trapezoid is
that the two non-parallel sides.http://www.mathwarehouse.com/geometry/quadrilatera
ls/isosceles-trapezoid.phpIf the legs of a trapezoid are congruent then they are a
isosceles trapezoid.
![Page 15: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/15.jpg)
Isosceles trapezoidProperties
An isosceles trapezoid is a trapezoid with congruent legs.
A trapezoid is isosceles if and only if the base angles are congruent.
A trapezoid is isosceles if and only if the diagonals are congruent.
If a trapezoid is isosceles, the opposite angles are supplementary.
![Page 16: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/16.jpg)
Kites A quadrilateral with two distinct pairs of equal
adjacent sides.(http://www.mathopenref.com/kite.html)A kite is a member of the quadrilateral family.The pairs cannot have a side in common.Each pair must share a common vertex and each pair
must be distinct.(http://www.mathopenref.com/kite.html)
![Page 17: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/17.jpg)
KitesProperties
Diagonals intersect at right angles.Angles between unequal sides are equal.The area of a kite can be calculated in various ways.The distance around the kite. The sum of its sides.A kite can become a rhombus.
In the special case where all 4 sides are the same length, the kite satisfies the definition of a rhombus.
A rhombus in turn can become a square if its interior angles are 90 degrees .
Adjust the kite above and try to create a square. (http://www.mathopenref.com/kite.html)
![Page 18: =. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The](https://reader036.vdocuments.site/reader036/viewer/2022062721/56649f215503460f94c39a77/html5/thumbnails/18.jpg)
Rutter,_Daniel (1998-2010)_[Dan’s Data]_Retrieved[3/27/2011],_from_{http://www.dansdata.com/images/a4input/overlaid600.jpg}
Roberts,_Matt (2010)_[SB Nation]_Retrieved{3/27/2011],_From_{http://www.google.com/imgres?imgurl=http://www.creativeawards.co.uk/shop/images/rhombus-award2.jpg&imgrefurl=http://www.pensionplanpuppets.com/2010/4/28/1448721/update-lee-from-keswick-still-a&usg=__HVz9mbxUCjwzOnf71dGjfnPUx5A=&h=500&w=500&sz=10&hl=en&start=5&zoom=1&itbs=1&tbnid=NYJDkiK_pyXyiM:&tbnh=130&tbnw=130&prev=/images%3Fq%3Drhombus%2Bin%2Breal%2Blife%26hl%3Den%26sa%3DX%26ndsp%3D20%26tbs%3Disch:1&ei=9c6ZTYKRF8e-0QGI2OWADA}
Brisbane,_Sydney(2010)_[unlv rebels] _retrieved{3/27/2011},_[http://www.google.com/imgres?imgurl=http://grfx.cstv.com/schools/unlv/graphics/auto/trapezoid.jpg&imgrefurl=http://www.unlvrebels.com/sports/m-baskbl/spec-rel/08-unlv-down-under.html&usg=__-wMz_zulSC9DSTh26xZ_ztYSdaM=&h=392&w=504&sz=56&hl=en&start=8&zoom=1&itbs=1&tbnid=X60ngZ8XTiOoGM:&tbnh=101&tbnw=130&prev=/search%3Fq%3Dbasketball%2Bcourt%2Btrapezoid%26hl%3Den%26tbm%3Disch&ei=6h2bTaCNOMjLgQe_yrGwBw]