Shape 

Copyright David & Cynthia Thomas, 2009

More Triangle Recipes--Exercises

Part I

Do challenge problem and directed activities in this section.

Part II

Complete the following exercises

1. Using either straightedge-and-compass or The Geometers Sketchpad, construct triangles with the following features:

a. A 45° angle, a 60° angle, and an included segment of length 8cm.

b. A 45° angle, a 90° angle, and a non-included segment of length 8cm.

2. Using segments and angles of your choice, demonstrate that constructions based on Side-Side-Angle and Angle-Angle-Angle may produce multiple, non-identical triangles.

3. Relative to directed activities Angle-Angle-Angle and Side-Side-Angle, create step-by-step procedures for each construction.  Justify your procedures.

4. A link to Proposition 26 of Euclid’s Elements is found in directed activity Angle-Side-Angle.  Study the proof carefully then rewrite it in your own words.

5. Create a Concept Card for Angle-Angle-Side.