Quadrilateral Project
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Transcript of Quadrilateral Project
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Quadrilateral Project•Danielle Eyerley•Nicole Nugent
•Alivia Womelsdorf
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Quadrilaterals
Rhombi Rectangles Square
Parallelograms
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Hierarchy of PolygonsPolygons
Quadrilaterals
Parallelograms Kite
sTrapezoi
ds
RectangleRhom
bi
Square
Isosceles
Trapezoid
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ParallelogramPROPERTIES REAL LIFE EXAMPLE Opposite Angles are
equal. Consecutive angles
are supplementary . Diagonals bisect
each other. Opposite sides are
congruent.
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RectanglePROPERTIES REAL LIFE EXAMPLE Opposite sides are
parallel and congruent.
The diagonals bisect each other.
The diagonals are congruent.
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RhombusPROPERTIES REAL LIFE EXAMPLE Opposite angle of a
rhombus have equal measures.
The diagonals are congruent.
Its diagonals bisect opposite angles. When they bisect each other its at a right angle.
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SquarePROPERTIES REAL LIFE EXAMPLE The diagonals of a
square bisect each other and meet at 90 ˚.
Opposite sides are both parallel and equal.
The diagonals of a square bisect its angles and they are also perpendicular.
Diagonals are equal.
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TrapezoidPROPERTIES REAL LIFE EXAMPLE Quadrilaterals that
have one set oppesite sides that are parallel
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Isosceles TrapezoidPROPERTIES REAL LIFE EXAMPLE Quadrilaterals with
one set of opposites are parallel.
Two sides are congruent.
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Matrix of Properties
Properties QuadsOpposite angle are equal.Consecutive angle are supplementary.Diagonals bisect each other.Opposite sides are congruent and parallel.The diagonals are congruent.Opposite sides of a rhombus have equal measures.Diagonals bisect opposite angles.
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Continued…Diagonals bisect opposite angles. When they bisect each other is at a right angle.Diagonals of a square bisect each other and meet at 90 ̊Opposite sides are both parallel and equal the diagonals of a square bisect its angles and they are also perpendicular.Diagonals are equal.Quadrilaterals that have one set opposite sides that are parallel.Two sides are congruent.
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Proving ParallelogramsIf both pairs of opposite sides are quadrilateral are congruent, then the quadrilateral is a parallelogram.If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.If one pair of opposite sides of a quadrilateral is both parallel and congruent, then the quadrilateral is a parallelogram.
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Resources http://www.learningwave.com/lwonline/
geometry_section2/trapezoid/trapezoid1.jpg
http://www.guardianchronicle.com/images/the%20world%20trade%20center.jpg
http://3.bp.blogspot.com/_0gI5te2_CJM/SmlI1KHTuAI/AAAAAAAAABU/g6qV22HceZ0/s400/stewart_graphicrhombusborder.gif
http://library.thinkquest.org/C006354/Pix/2.5.gif
http://www.the-window-treatment-expert.com/images/trapezoid-window.jpg
http://terrystickels.com/db_3squaresto8squares5.jpg
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Continued.. Team C006354.(2000). Math Quickie Retrieved April 1, 2011, from
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Nicolas Pioch.(2002). Web Museum Retrieved April 1, 2011, from http://www.google.com/imgres?imgurl=http://www.ibiblio.org/wm/paint/auth/malevich/sup/malevich.black-red-square.jpg&imgrefurl=http://www.ibiblio.org/wm/paint/auth/malevich/sup/&usg=__DuxTCba3sY4IwU_nawwDhHPiR-8=&h=1039&w=653&sz=44&hl=en&start=11&zoom=1&itbs=1&tbnid=g2kwBPvAaYggJM:&tbnh=150&tbnw=94&prev=/images%3Fq%3Dsquare%26hl%3Den%26gbv%3D2%26tbs%3Disch:1&ei=_diZTZXHB-Hx0gHyuNSeCg