Construction Protocol for an Equilateral Triangle
To construct an equilateral triangle with a given line segment as its side.
Discuss the following:
1. Why does this construction work?
2. Is it better to define an equilateral triangle as a triangle having equal sides or equal angles?
3. Notice how we get an inverted equilateral triangle for free. Why does this happen?
4. You just constructed a rhombus! Do you see it?