QuadrilateralsQuadrilateralsObj: SWBAT identify and classify Obj: SWBAT identify and classify quadrilaterals and their propertiesquadrilaterals and their properties

QuadrilateralsQuadrilaterals

QuadrilateralsQuadrilaterals::– Have exactly Have exactly 44 sidessides– The The sum of the interior sum of the interior

anglesangles of all of all quadrilaterals is quadrilaterals is 360º360º

WARNING: Do not assume any additional properties for a quadrilateral unless you are given additional information.

KiteKite

Kite:Kite:– 22 pairs of pairs of adjacent sides adjacent sides

congruentcongruent– NONO opposite sides opposite sides

congruentcongruent– Diagonals are Diagonals are

perpendicularperpendicular

Kite + Algebra ExampleKite + Algebra Example

Solve for x and y.Solve for x and y.

Before you start, think about:

What are the properties of a kite?

What should you solve for 1st?

TrapezoidsTrapezoids

Trapezoid:Trapezoid:– ONLY ONLY 11 set of set of

parallel sidesparallel sides

Isosceles TrapezoidIsosceles Trapezoid::– ONLY ONLY 11 set of set of

parallel sidesparallel sides– Base angles congruentBase angles congruent– Legs congruentLegs congruent

Isosceles Trapezoid + Algebra Isosceles Trapezoid + Algebra ExampleExample

Solve for the value of x in the isosceles Solve for the value of x in the isosceles trapezoid.trapezoid.

Before you start, think about:

What are the properties of an isosceles trapezoid?

What sides can you set equal?

ParallelogramsParallelograms

ParallelogramParallelogram::- is a - is a quadrilateralquadrilateral with with both pairs of both pairs of oppositeopposite sides sides parallel parallel andand congruentcongruent

Solve for the value of x in the parallelogram.

Before you start, think about:What are the properties of a parallelogram? What sides can you set

equal?

RectanglesRectangles

Rectangle:Rectangle:– AllAll of the properties of the of the properties of the parallelogramparallelogram PLUS: PLUS:

44 right anglesright angles CongruentCongruent diagonalsdiagonals

RhombusRhombus

RhombusRhombus AllAll of the properties of the of the properties of the parallelogramparallelogram PLUS: PLUS: - - 44 congruent sidescongruent sides- diagonals bisect angles- diagonals bisect angles- diagonals perpendicular- diagonals perpendicular

SquareSquare

SquareSquareHas all of the Has all of the properties of the properties of the parallelogramparallelogram AND AND the the rectanglerectangle AND AND the the rhombusrhombus!!

44 right angles right angles44 congruent sides congruent sides

Trapezoid

Trapezoid

ParallelogramsParallelograms

ParallelogramParallelogram::- - 22 sets of sets of parallel sidesparallel sides- - 22 sets of sets of congruent sidescongruent sides- - opposite angles congruentopposite angles congruent- - same-side interior angles same-side interior angles supplementarysupplementary- - diagonals bisectdiagonals bisect each other each other- - diagonalsdiagonals form form 22 congruent congruent trianglestriangles

TrapezoidsTrapezoidsTrapezoid:Trapezoid:– ONLY ONLY 11 set of set of parallel parallel

sidessides

Isosceles TrapezoidIsosceles Trapezoid::– ONLY ONLY 11 set of set of parallel parallel

sidessides– Base angles congruentBase angles congruent– Legs congruentLegs congruent– Diagonals congruentDiagonals congruent– Opposite angles Opposite angles

supplementary supplementary