Shape
Copyright David & Cynthia Thomas, 2009
Necessary Conditions--Directed Activity: Angle Sums
Focus |
Investigate triangle angle sums |
Technologies |
· Paper folding |
References |
· Euclid of Alexandria http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Euclid.html |
Background |
Figure 1.2 demonstrates the use of paper folding to investigate the angle sum of a triangle. Starting with 3 different triangles, follow the indicated procedures. Draw each triangle using a straightedge and cut it out carefully.
Figure 1.2: Angle Sums |
Tasks |
1. Investigate the relationship between the angles of all three triangles. Summarize your findings in the form of a conjecture. 2. Justify your conclusion. |