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Quadrilaterals

Quadrilaterals. =. Justine Amrowski Jacob Hilley Tony Politz. 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.

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Quadrilaterals

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  1. Quadrilaterals = Justine Amrowski Jacob Hilley Tony Politz

  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 360o

  3. All Types of Quadrilaterals Polygons Quadrilaterals Parallelograms Kites Trapezoids Isosceles Trapezoids Rectangles Rhombi Squares

  4. 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)

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

  6. Rectangles • Is a quadrilateral with four right angles. • Both pairs of opposite angles are congruent. • A rectangle has all properties of all parallelogram. • Right angles make a rectangle a rigid figure. • The diagonals are also congruent.

  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/isosceles-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) • 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 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)

  18. 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]

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