Shape
Copyright David & Cynthia Thomas, 2009
Triangle Recipes--Directed Activity: Euclid’s First Triangle,
Part II
Focus |
Construct an equilateral triangle |
Technologies |
· The Geometers Sketchpad |
References |
· Euclid’s Elements Proposition 1 http://aleph0.clarku.edu/~djoyce/java/elements/bookI/propI1.html · Euclid of Alexandria http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Euclid.html |
Background |
The Geometers Sketchpad implements straightedge-and-compass constructions. It also supports a wide variety of measurements and geometric transformations (See Figure 1.7).
Figure 1.7: Using The Geometers Sketchpad
|
Tasks |
1. Using The Geometers Sketchpad, construct an equilateral triangle. 2. Explain and justify the individual steps and final result of your construction. |