Lesson 4: Construction Techniques 2: Equilateral Triangles

Joe Garcia

4.1 Notice and Wonder: Circles Circles Circles

4.1 Notice and Wonder: Circles Circles Circles

What do you notice? What do you wonder?

4.2: What Polygons Can You Find?

Here is a straightedge and compass construction of a regular hexagon inscribed in a circle just before the last step of drawing the sides: 1. Use a straightedge to draw at least 2 polygons on the figure. The vertices of your polygon should be intersection points in the figure. Lightly shade in your polygons using different colored pencils to make them easier to see.

2. Write at least 2 conjectures about the polygons you made.

4.3: Spot the Equilaterals

Use straightedge and compass moves to construct at least 2 equilateral triangles of different sizes.