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=. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The.

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Presentation on theme: "=. Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The."— Presentation transcript:

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2 Quadrilaterals A quadrilateral is any 4 sided polygon There are 6 different quadrilaterals Square Rectangle Parallelogram Trapezoid Rhombus Kite. The internal angles of all quadrilaterals add to give 360 o

3 All Types of Quadrilaterals Polygons Quadrilaterals ParallelogramsKites Trapezoids RectanglesRhombi Isosceles Trapezoids Squares

4 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.htm l)

5 Parallelograms Are quadrilaterals with the following properties: Opposite side are parallel. Opposite angles are congruent. Diagonals bisect each other.

6 Rectangles 1. 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.

7 Rectangles Properties Opposite sides are parallel and congruent. The diagonals bisect each other. The diagonals are congruent.

8 Rhombus A 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.

9 Rhombus Properties A rhombus has all the properties of a parallelogram. All sides are congruent. Diagonals are perpendicular. Diagonals bisect the angles of the rhombus.

10 Squares If 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.

11 Squares Properties A square has all the properties of a parallelogram A square has all properties of a rectangle. A square has all the properties of a rhombus.

12 Trapezoids A 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.

13 Trapezoids Properties Four sides. At least one pair of opposite sides are parallel. Angles between pairs of parallel sides are supplementary.

14 Isosceles trapezoid The 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/quadrilaterals/isoscel es-trapezoid.php http://www.mathwarehouse.com/geometry/quadrilaterals/isoscel es-trapezoid.php If the legs of a trapezoid are congruent then they are a isosceles trapezoid.

15 Isosceles trapezoid Properties 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.

16 Kites A quadrilateral with two distinct pairs of equal adjacent sides.(http://www.mathopenref.com/kite.html)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)

17 Kites Properties 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 def inition 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)http://www.mathopenref.com/kite.html

18 Rutter,_Daniel (1998-2010)_[Dan’s Data]_Retrieved[3/27/2011],_from_{http://www.dansdata.com/images/a4input/overlaid 600.jpg} Roberts,_Matt (2010)_[SB Nation]_Retrieved{3/27/2011],_From_{http://www.google.com/imgres?imgurl=http://w ww.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&z oom=1&itbs=1&tbnid=NYJDkiK_pyXyiM:&tbnh=130&tbnw=130&prev=/images%3Fq%3D rhombus%2Bin%2Breal%2Blife%26hl%3Den%26sa%3DX%26ndsp%3D20%26tbs%3Disc h:1&ei=9c6ZTYKRF8e-0QGI2OWADA} Brisbane,_Sydney(2010)_[unlv rebels] _retrieved{3/27/2011},_[http://www.google.com/imgres?imgurl=http://grfx.cstv.com/sch ools/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&itb s=1&tbnid=X60ngZ8XTiOoGM:&tbnh=101&tbnw=130&prev=/search%3Fq%3Dbasketball %2Bcourt%2Btrapezoid%26hl%3Den%26tbm%3Disch&ei=6h2bTaCNOMjLgQe_yrGwB w]


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