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Arthur Lee


  • 1. Constructing Quadrilaterals by Four Sides (2014)
  • 2. Slopes of Perpendicular Lines
  • 3. Exterior Angles of Polygons
  • 4. AQR Section 17: Dot Plot and Box-and-Whisker Plot
  • 5. Box & Whisker vs. Histogram
  • 6. Multiplying 3 Factors
  • 7. Area of a Circle - Wedge/Sector Demonstration
  • 8. Graphing Linear Equations in 2 Unknowns
  • 9. Circumcircle of a triangle (Soft Construction)
  • 10. Trigonometric Ratios: Sine 三角比：正弦
  • 11. A single equation for a smiley face
  • 12. Polygonal numbers
  • 13. Polygonal Number 多邊形數
  • 14. Factorization - Visual illustration of divisor pairs
  • 15. An Isosceles Mystery
  • 16. Animation: Expanding square
  • 17. The Flower
  • 18. Missing Square Puzzle
  • 19. kgkgkgmGrowth of Facebook.com
  • 20. Discrete SIR infectious disease model versus time
  • 21. Moss Egg by Robert Dixon
  • 22. Discovering Pythagoras' Theorem by Area
  • 23. Egiptian Triangle by Paper Folding(6)
  • 24. Playing Card Dealer
  • 25. Squares in a Rectangle
  • 26. Curve Stitching: making a parabola from straight lines.
  • 27. Constant width shapes
  • 28. Shapes of constant width
  • 29. Square and Triangle Pattern
  • 30. Exterior Angle Sum Demostrated
  • 31. Transformation - Rotation
  • 32. Wallpaper Groups
  • 33. Shonk's Reinvention
  • 34. Sector to Cone Lateral Area split screen
  • 35. Curved Surface Area of Cones (Parametric Curved Surface)
  • 36. Cylinder Illusion
  • 37. Just for fun
  • 38. estimate fraction in a set

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Constructing Quadrilaterals by Four Sides (2014)

Answer the following questions using the applet.[br]1.　Can you make a quadrilateral of four sides being 2 cm, 3 cm, 3 cm and 9 cm? Why or why not?[br]2.　If a quadrilateral has four equal sides, what are its possible shapes?[br]3.　If a quadrilateral has two pairs of equal opposite sides, what are its possible shapes?[br]4.　If a quadrilateral has two pairs of equal adjacent sides, what is its shape?[br]5.　Make the trapezium of the four sides (from top to bottom) being: [br]　　(a) 4 cm, 4 cm, 4 cm, 6 cm;　　(b) 4 cm, 4 cm, 5 cm, 6 cm;[br]　　(c) 4 cm, 3 cm, 5 cm, 7 cm;　　(d) 3 cm, 3 cm, 5 cm, 7 cm.[br]　　What is the characteristic of trapeziums?
Anthony Or, GeoGebra Institute of Hong Kong.
– Anthony OR 柯志明

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