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Classifying Quadrilaterals “…geometric shapes are the alphabet in which the book of nature is written." -Galileo Type your name and send: Next Slide Objectives Define what parallelograms, kites, rectangles, squares, rhombi, and trapezoids are. Sort and classify quadrilaterals. Determine which shapes are and are not quadrilaterals, given examples. Next Slide What is a Quadrilateral? A. 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. B. A four sided polygon. Next Slide Types of Quadrilaterals Trapezoid Parallelogram Square Rectangle Kite, Dart Which one is NOT a quadrilateral? Rhombus Scalene Rectangle Next Slide 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. Next Slide Name that Quadrilateral! (No points for this name!) 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? Next Slide Name that Quadrilateral! A quadrilateral with all angles equal is a rectangle. A quadrilateral with all sides equal is a rhombus. Next Slide In Euclidean geometry, a rhombus or rhomb is a convex quadrilateral whose four sides all have the same length. The rhombus is often called a diamond, after the diamonds suit in playing cards, or a lozenge, though the latter sometimes refers specifically to a rhombus with a 45° angle. Every rhombus is a parallelogram, and a rhombus with right angles is a square. (Euclid's original definition and some English dictionaries' definition of rhombus excludes squares, but modern mathematicians prefer the inclusive definition.)[1] The English word “rhombus” derives from the Ancient Greek ῥόμβος (rhombos), meaning spinning top. The Next plural of rhombus can be either rhombi or rhombuses. Slide Name that Quadrilateral! Trapezoid A quadrilateral with at least one pair of parallel sides is a t……oid. Next Slide Name that Quadrilateral! A quadrilateral with both pairs of opposite sides parallel and equal in length is known as a p….gram. Parallelograms can be considered special cases of trapezoids, since they have a least one pair of parallel sides. Next Slide Name that Quadrilateral! A quadrilateral with two separate pairs of equal adjacent sides is commonly called a ????. However, if the kite is concave, a dart is a more appropriate term. This is a dart: Next Slide Are They Quadrilaterals? A B C 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? Next Slide LO:To classify quadrilaterals A I need more practice to help me understand this and I made lots of mistakes. B I am beginning to understand this and I got many of them correct. C I really understand this and I got most of them correct. Follow up activity Work in pairs. You will be given the name of a shape. For each shape, you must write as many facts as you can that are true about the shape in your book. For example you can say that a scalene triangle has three sides. You can not say that it does not have four sides. Last Slide