Which Quads are Which?
- Lora Dunlap
The following figures are quadrilaterals appearing to be squares....
Do NOT reset the applet after you have changed it. 1) Identify the Square: Drag the vertices of each “Quad” to determine which are squares. They must remain a square even while any of the four vertices are in motion. Q: Which“Quads” are real squares? QuadLetter: ________ 2) In your own words, recall and define the basic properties needed for each figure: • Quadrilateral: • Trapezoid: • Parallelogram: • Rhombus: • Rectangle: • Square: 3) Identify each of the “Quads” in the web applet as one of the above specific quadrilaterals. There may be repeats. Choose carefully. A ____________________ B___________________ C ___________________ D ____________________ E ___________________ F ___________________ 4) Investigate the Diagonals: Switch to the web applet http://www.geogebratube.org/student/m32127 and answer the following. Do NOT reset the applet after you have changed it. Q: Based on your observations, how do the measurements compare within each quadrilateral? What can you always assume about the diagonal segments and their intersecting angles for each type of quadrilateral? These assumptions must hold true even while each of the vertices is in motion. • Quadrilateral: • Trapezoid: • Parallelogram: • Rhombus: • Rectangle: • Square: 5) Open the full Geogebra application by going to www.geogebra.org and clicking “Download” then “Webstart”. Choose between a trapezoid, parallelogram, rhombus, rectangle, or a square (not a “plain” quadrilateral) to reconstruct in Geogebra yourself based on the defining properties or diagonal properties that you listed for this shape on this worksheet. There are multiple strategies for constructing each quadrilateral. Do NOT use the “Regular Polygon” tool as this is not using your defining or diagonal properties; this is taking advantage of Geogebra’s technology.