classifying quadrilaterals “…geometric shapes are the alphabet in which the book of nature is...
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Classifying Quadrilaterals
“…geometric shapes are the alphabet in which the book of nature is written." -Galileo
What is a Quadrilateral?
A quadrilateral is a two-dimensional figure formed by connecting four segments endpoint to endpoint with each segment intersecting exactly two others. It also has four sides and four angles.
What is a Quadrilateral?
Look around you, do you see shapes that could be termed a quadrilateral?
Take about two minutes to draw five different shapes that you think could be classified as a quadrilateral.
Types of Quadrilaterals
Trapezoid Parallelogram Square Rectangle Kite, Dart Rhombus Rectangle
Copyright © 2000 by Monica Yuskaitis
Quadrilateral Family
parallelogram
rectangle
rhombus square
trapezoid
Classification of Quadrilaterals
A concave quadrilateral contains at least one angle that is >180o.
A quadrilateral is convex if each vertex lies in the interior of the opposite angle.
Name that Quadrilateral!
A square is a quadrilateral with all sides and angles equal.
If all quadrilaterals have 360o total, what is the angle of each vertex in a square?
Name that Quadrilateral!
A quadrilateral with all angles equal is a rectangle.
A quadrilateral with all sides equal is a rhombus.
A quadrilateral with at least one pair of parallel sides is a trapezoid.
Name that Quadrilateral!
Name that Quadrilateral!
A quadrilateral with both pairs of opposite sides parallel and equal in length is known as a parallelogram.
Parallelograms can be considered special cases of trapezoids, since they have a least one pair of parallel sides.
Name that Quadrilateral!
A quadrilateral with two separate pairs of equal adjacent sides is commonly called a kite.
However, if the kite is concave, a dart is a more appropriate term.
Examples of shapes or curves that are not classified as quadrilaterals. They do not follow the definition of a quadrilateral. Can you give a reason why?
Are They Quadrilaterals?
ACB
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