Classifying Quadrilaterals Visually by Draggingby Michael de Villiers Return to Dynamic Geometry Sketches Return to Explorations for Students In this activity, you will visually explore the relationship between several different quadrilaterals and eventually classify them in the form of a 'family tree'. After an introduction to a square and a rectangle, you will explore the relationship between a rectangle and a square. Then you will move on to a rhombus, parallelogram, isosceles trapezoid, kite, trapezoid, bisecting quadrilateral, cyclic quadrilateral and eventually a circum quadrilateral. My book Some Adventures in Euclidean Geometry 219 pp. @ USD 4.00 to download - printed copy also available @ USD 26.99 gives extensive attention to the defining and classification of the quadrilaterals from the symmetry of a side-angle duality. An Introduction to a Square and a Rectangle Activity 1: Rectangle-Square Relationship What does the above investigation tell you about the relationship between a rectangle and a square? Go to Rectangle-Square-solution Now continue with the activities below. (Some pages may need to be refreshed to work properly). Activity 4: ParallelogramActivity 5: Isosceles Trapezoid Activity 8: Bisecting Quadrilateral Activity 9: Cyclic Quadrilateral Activity 10: Circum Quadrilateral Activity 11: Now draw a tree diagram starting with a general convex quadrilateral at the top, showing a combined classification of all the quadrilaterals explored above and the relationships between them. Please complete the two question survey regarding your experience regarding the activities above to help improve them. Click here to take the Online Survey Modified by Michael de Villiers, 3 August 2008 with The Geometer's Sketchpad. Copyright © 1990-2001 by KCP Technologies, Inc. Licensed only for non-commercial use. |