classifying quadrilaterals
DESCRIPTION
CLASSIFYING QUADRILATERALS. “…geometric shapes are the alphabet in which the book of nature is written." -Galileo. Objectives. You are learning to classify quadrilaterals . Semantic Feature Analysis Sorting Pages 1 Ovals, 2 quadrilaterals. Quadrilateral Semantic Feature Analysis. - PowerPoint PPT PresentationTRANSCRIPT
Classifying Quadrilaterals
CLASSIFYING QUADRILATERALSgeometric shapes are the alphabet in which the book of nature is written." -Galileo1http://soundscapesinternational.com/sacred_geometry.php ParallelogramsOpposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Square Rhombus
But does not need four right angles Trapezoid
They only need one pair of parallel lines Kite or Diamond
One right angle.Two pair of congruent lines IrregularQuadrilateralsPrint this pagePrint this pagePoint-A place in time or spaceLine- a series of points that extends foreverFigure- a line or shape that represents somethingWhat you already know4Point-A place in time or spaceLine- a series of points that extends foreverFigure- a line or shape that represents somethingWhat you already know5Point-A place in time or spaceLine- a series of points that extends foreverFigure- a line or shape that represents somethingWhat you already know6Point-A place in time or spaceLine- a series of points that extends foreverFigure- a line or shape that represents somethingWhat you already know7Shape- A closed figurePolygon- A closed plane figure. Straight edgesPoint-A place in time or spaceLine- a series of points that extends foreverFigure- a line or shape that represents somethingShape- A closed figurePolygon- A closed plane figure. Straight edgesShape- A closed figurePolygon- A closed plane figure. Straight edgesShape- A closed figurePolygon- A closed plane figure. Straight edgesShape- A closed figurePolygon- A closed plane figure. Straight edgesmore Geometry definitionsShape- A closed figurePolygon- A closed plane figure. Straight edgesShape- A closed figureA closed plane figure. Straight edgesPolygon-
A closed plane figure. Straight edges A closed plane figure. Straight edgesPolygon- A closed plane figure. Straight edgesA closed plane figure straight edgesPolygon- A closed plane figure. Straight edgesQuadrilateral- Quadrilateral-A closed plane figure straight edgesPolygon- A closed plane figure. Straight edges Quadrilateral- A closed plane figure straight edgesPolygon- A closed plane figure. Straight edgesfourPolygon- A closed plane figure. Straight edges Quadrilateral- A closed plane figure straight edgesfour Quadrilateral- A closed plane figure four straight edges Quadrilateral- A closed plane figure four straight edges Quadrilateral- A closed plane figure four straight edges Quadrilateral- A closed plane figure four straight edges Quadrilateral- A closed plane figure four straight edges Quadrilateral- A closed plane figure four straight edges every single one of these polygons.What a mess!Lets get organized!Like other polygons, quadrilaterals have properties.We can look at the length of the sides.We can look at the size of the anglesWe look to see if opposite sides are parallelWe look to see if opposite sides are congruentangle-measures how far a figure has rotated around a pointcongruent-exact same shape-exact same size
parallel-lines that never meetobtuse-an angle greater than 90acute-an angle less than 90right-an angle equal to 90acuterightobtuse26Lets get organized!Like other polygons, quadrilaterals have properties.angle-measures how far a figure has rotated around a pointcongruent-exact same shape-exact same sizeparallel-lines that never meetobtuse-an angle greater than 90acute-an angle less than 90right-an angle equal to 90We classify quadrilaterals into groups that have similar properties.classify-organize into groups based on propertiesSimilar-same figure could be different sizeThese groups are calledparallelogramsrectanglessquareirregularrhombi (Plural for rhombus)trapezoidsKite or diamond
paralelogramparallelogram27 Parallelograms Our biggest group is the parallelograms.Lets look at the property that makes a quadrilateral a parallelogramOpposite sides are parallel. Parallelograms Our biggest group is the parallelograms.Lets look at the property that makes a quadrilateral a parallelogramOpposite sides are parallel. Parallelograms Our biggest group is the parallelograms.Lets look at the property that makes a quadrilateral a parallelogramOpposite sides are parallel. Parallelograms Our biggest group is the parallelograms.Opposite sides are parallel.Lets look at the property that makes a quadrilateral a parallelogram Parallelograms Our biggest group is the parallelograms.Lets look at the property that makes a quadrilateral a parallelogramOpposite sides are parallel. Parallelograms Our biggest group is the parallelograms.Lets look at the property that makes a quadrilateral a parallelogramOpposite sides are parallel. Parallelograms Our biggest group is the parallelograms.Lets look at the property that makes a quadrilateral a parallelogramOpposite sides are parallel. Parallelograms Our biggest group is the parallelograms.Lets look at the property that makes a quadrilateral a parallelogramOpposite sides are parallel. Parallelograms Our biggest group is the parallelograms.Lets look at the property that makes a quadrilateral a parallelogramOpposite sides are parallel.acuterightobtuse Parallelograms
Opposite sides are parallel. Rectangles
There are special parallelograms we call rectangles. Four right anglesSo we look at another property Parallelograms
Opposite sides are parallel. Rectangles
There are special parallelograms we call rectangles. Four right anglesSo we look at another property Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesA square is a rectangle Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesA square is a rectangle that has congruent sidesAll four sides are exactly the same size Square
Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesA square is a rectangle that has congruent sidesAll four sides are exactly the same size Square
Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Square
Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Square
There is one more type of parallelogram. It is called a rhombus Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Square
There is one more type of parallelogram. It is called a rhombus Rhombus
Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Square
Rhombus
Four sides are congruent Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Square
Rhombus
Four sides are congruentBut does not need four right angles
Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Square
Rhombus
But does not need four right angles
Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Square
Rhombus
But does not need four right angles
Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Square
Rhombus
But does not need four right angles
Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Square
Rhombus
But does not need four right angles
Now lets talk about twomore types of quadrilaterals.
They are not parallelograms
Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Square
Rhombus
But does not need four right angles
Now lets talk about twomore types of quadrilaterals.
They are notparallelograms Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Now lets talk about two more types of quadrilaterals.
Trapezoid
Trapezoids are pretty easy. They only need one pair of parallel linesThats it, no more rules!Just add two more lines and you have a trapezoid. Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Now lets talk about two more types of quadrilaterals.
Trapezoid
They only need one pair of parallel linesSo, is a square a trapezoid?YesNoClick one. Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Now lets talk about two more types of quadrilaterals.
Trapezoid
They only need one pair of parallel linesSo, is a square a trapezoid? Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Now lets talk about two more types of quadrilaterals.
Trapezoid
They only need one pair of parallel linesSo, is a square a trapezoid?Of course it is! Squares are so cool! Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Now lets talk about two more types of quadrilaterals.
Trapezoid
They only need one pair of parallel linesNow, the last named quadrilateral.This one has two rules. One right angle.Two pair of congruent lines Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Now lets talk about two more types of quadrilaterals.
Trapezoid
They only need one pair of parallel linesNow, the last named quadrilateral.This one has two rules. One right angle.Two pair of congruent lines What does it look like? Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Now lets talk about two more types of quadrilaterals.
Trapezoid
They only need one pair of parallel linesWhat does it look like? Could it be a kite? Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Now lets talk about two more types of quadrilaterals.
Trapezoid
They only need one pair of parallel linesCould it be a kite? Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Now lets talk about two more types of quadrilaterals.
Trapezoid
They only need one pair of parallel linesCould it be a kite? Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Now lets talk about two more types of quadrilaterals.
Trapezoid
They only need one pair of parallel lines Kite or Diamond
One right angle.Two pair of adjacent congruent lines
Some definitions of kite do not require a right angle. Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Now lets talk about two more types of quadrilaterals.
Trapezoid
They only need one pair of parallel lines Kite or Diamond
One right angle.Two pair of adjacentcongruent lines
Some definitions of kite do not require a right angle. Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Now lets talk about two more types of quadrilaterals.
Trapezoid
They only need one pair of parallel lines Kite or Diamond
One right angle.Two pair of adjacentcongruent lines
Some definitions of kite do not require a right angle. Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Trapezoid
They only need one pair of parallel lines Kite or Diamond
One right angle.Two pair of adjacentcongruent lines
The rest of the quadrilaterals we see are irregular
Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Trapezoid
They only need one pair of parallel lines Kite or Diamond
One right angle.Two pair of adjacentcongruent lines The rest of the quadrilaterals we see are irregular
Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Trapezoid
They only need one pair of parallel lines Kite or Diamond
One right angle.Two pair of adjacentcongruent lines
Irregular Parallelograms
Opposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Rhombus
Square
But does not need four right angles
Trapezoid
They only need one pair of parallel lines Kite or Diamond
One right angle.Two pair of congruent lines
IrregularOrYou made it! ParallelogramsOpposite sides are parallel. Rectangles
Four right anglesFour sides are congruent Square Rhombus
But does not need four right angles Trapezoid
They only need one pair of parallel lines Kite or Diamond
One right angle.Two pair of congruent lines IrregularQuadrilateralsFour sides are congruent Square ParallelogramsOpposite sides are parallel. Rectangles
Four right angles Rhombus
But does not need four right angles Trapezoid
They only need one pair of parallel lines Kite or Diamond
One right angle.Two pair ofadjacent congruent lines IrregularQuadrilateralsPrint this pageHey. You made it. Use these links to motor around the project.Link to the beginning of the presentation
Link to practicegomaths.net/1666
Wilderness Blog
Link to the assessment