Quadrilateral Project

Quadrilateral Project•Danielle Eyerley•Nicole Nugent

•Alivia Womelsdorf

Quadrilaterals

Rhombi Rectangles Square

Parallelograms

Hierarchy of PolygonsPolygons

Quadrilaterals

Parallelograms Kite

sTrapezoi

ds

RectangleRhom

bi

Square

Isosceles

Trapezoid

ParallelogramPROPERTIES REAL LIFE EXAMPLE Opposite Angles are

equal. Consecutive angles

are supplementary . Diagonals bisect

each other. Opposite sides are

congruent.

RectanglePROPERTIES REAL LIFE EXAMPLE Opposite sides are

parallel and congruent.

The diagonals bisect each other.

The diagonals are congruent.

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.

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.

TrapezoidPROPERTIES REAL LIFE EXAMPLE Quadrilaterals that

have one set oppesite sides that are parallel

Isosceles TrapezoidPROPERTIES REAL LIFE EXAMPLE Quadrilaterals with

one set of opposites are parallel.

Two sides are congruent.

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.

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.

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.

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

Continued.. Team C006354.(2000). Math Quickie Retrieved April 1, 2011, from

http://library.thinkquest.org/C006354/pictures.html&usg=__gyjNkNzwfB16a6zMvAQY-5dPies=&h=162&w=252&sz=20&hl=en&start=1&zoom=1&itbs=1&tbnid=nY47vEppd3aaLM:&tbnh=71&tbnw=111&prev=/images%3Fq%3Dreal%2Blife%2Bexamples%2Bof%2Ba%2Bparallelogram%26hl%3Den%26gbv%3D2%26tbs%3Disch:1&ei=1tSZTcuOEuSV0QHQk9jxCw

Ralph E. Smith.(2001).World Trade Center Retrieved April 1, 2011, from http://www.google.com/imgres?imgurl=http://www.guardianchronicle.com/images/the%2520world%2520trade%2520center.jpg&imgrefurl=http://www.guardianchronicle.com/nyc%2520attacked%2520by%2520plane%2520crashing%2520into%2520the%2520world%2520trade%2520center.htm&usg=__Ns0ftKiJbRghhU57fXKYTT1QQOg=&h=902&w=595&sz=409&hl=en&start=4&zoom=1&itbs=1&tbnid=VhjfXFWkL87yLM:&tbnh=146&tbnw=96&prev=/images%3Fq%3Dworld%2Btrade%2Bcenter%26hl%3Den%26gbv%3D2%26tbs%3Disch:1&ei=hNaZTZ_jNtOI0QGC54CFDA

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