Shape
Copyright David & Cynthia
Thomas, 2009
Triangle Recipes--Directed Activity: Duplicate a Segment of
Unknown Length
Focus |
Duplicate a segment of unknown length in a different location. |
Technologies |
· Straightedge-and-compass · The Geometers Sketchpad |
References |
· Euclid’s Elements http://aleph0.clarku.edu/~djoyce/java/elements/toc.html · Euclid of Alexandria http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Euclid.html |
Background |
In Figure 1.10, the distance between points A and B may not be measured directly because of an intervening pile of dirt.
Figure 1.10: Duplicating a Segment of Unknown Length
|
Tasks |
1. Devise a method for determining the length of segment AB by constructing and measuring a duplicate segment A’B’ in a different location. 2. Explain and justify your construction and the final result. |