IM Geo.1.4 Lesson: Construction Techniques 2: Equilateral Triangles
What do you notice? What do you wonder?
Here is a straightedge and compass construction of a regular hexagon inscribed in a circle just before the last step of drawing the sides:
Use the polygon tool (the one that looks like a triangle) to draw at least 2 polygons on the figure.
The vertices of your polygon should be intersection points in the figure.
Shade in your polygons using different colors to make them easier to see.
Use the style bar to change the color. This is what the style bar looks like.
Write at least 2 conjectures about the polygons you made.
Use straightedge and compass moves to construct at least 2 equilateral triangles of different sizes.
Examine the figure carefully.
What different shapes is it composed of? Be specific.
Figure out how to construct the figure with a compass and straightedge.
If you can, try constructing this figure on paper. Then, cut it out, and see if you can fold it up into a container like this.