Quadrilaterals Rhombi Rectangles SquareSquare Parallelograms.

Quadrilateral Project•Danielle Eyerley•Nicole Nugent

•Alivia Womelsdorf

Quadrilaterals

Rhombi Rectangles Square

Parallelograms

Hierarchy of Polygons

Polygons

Quadrilaterals

Parallelograms Kite

s

Trapezoids

RectangleRhom

bi

Square

Isosceles

Trapezoid

Parallelogram

PROPERTIES REAL LIFE EXAMPLE

Opposite Angles are equal.

Consecutive angles are supplementary .

Diagonals bisect each other.

Opposite sides are congruent.

Rectangle

PROPERTIES REAL LIFE EXAMPLE

Opposite sides are parallel and congruent.

The diagonals bisect each other.

The diagonals are congruent.

Rhombus

PROPERTIES 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.

Square

PROPERTIES 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.

Trapezoid

PROPERTIES REAL LIFE EXAMPLE

Quadrilaterals that have one set oppesite sides that are parallel

Isosceles Trapezoid

PROPERTIES REAL LIFE EXAMPLE

Quadrilaterals with one set of opposites are parallel.

Two sides are congruent.

Matrix of Properties

Properties Quads

Opposite 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 0

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..

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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