Classifying Quadrilaterals geometric shapes are the alphabet in
Classifying Quadrilaterals “…geometric shapes are the alphabet in which the book of nature is written. " -Galileo
What is a Quadrilateral? o 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? o Look around you, do you see shapes that could be termed a quadrilateral? o Take about two minutes to draw five different shapes that you think could be classified as a quadrilateral.
Types of Quadrilaterals o Trapezoid o Parallelogram o Square o Rectangle o Kite, Dart o Rhombus o Rectangle
Quadrilateral Family parallelogram rectangle trapezoid rhombus square Copyright © 2000 by Monica Yuskaitis
Classification of Quadrilaterals o A concave quadrilateral contains at least one angle that is >180 o. o A quadrilateral is convex if each vertex lies in the interior of the opposite angle.
Name that Quadrilateral! o A square is a quadrilateral with all sides and angles equal. o If all quadrilaterals have 360 o total, what is the angle of each vertex in a square?
Name that Quadrilateral! o A quadrilateral with all angles equal is a rectangle. o A quadrilateral with all sides equal is a rhombus.
Name that Quadrilateral! o A quadrilateral with at least one pair of parallel sides is a trapezoid.
Name that Quadrilateral! o A quadrilateral with both pairs of opposite sides parallel and equal in length is known as a parallelogram. o Parallelograms can be considered special cases of trapezoids, since they have a least one pair of parallel sides.
Name that Quadrilateral! o A quadrilateral with two separate pairs of equal adjacent sides is commonly called a kite. o However, if the kite is concave, a dart is a more appropriate term.
Are They Quadrilaterals? A B C o 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?
- Slides: 12