Shape 

Copyright David & Cynthia Thomas, 2009

 

More Triangle Recipes--Directed Activity: Angle-Side-Angle

                                                                                  

Focus

Construct a triangle given two angles and the segment between them.

Technologies

·        Straightedge-and-compass

·        The Geometers Sketchpad

References

·        Euclid’s Elements

http://aleph0.clarku.edu/~djoyce/java/elements/bookI/propI26.html   

·        Euclid of Alexandria

http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Euclid.html

Background

Figure 1.16: Angle-Side-Angle

 

Tasks

1.      Using the angles and segment in Figure 1.16, straightedge-and-compass, and The Geometers Sketchpad, construct a triangle using Angle-Side-Angle. 

2.      Explain and justify your constructions and the final result.