L1.4 - Construction Techniques 2: Equilateral Triangles
Learning Intentions and Success Criteria
We are learning to:
- Use circles in a construction to reason (using words and other representations) about lengths in figures.
- Construct an equilateral triangle.
- Identify congruent segments in figures and explain why they are congruent.
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:
- 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.
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.
Learning Intentions and Success Criteria
We are learning to:
- Use circles in a construction to reason (using words and other representations) about lengths in figures.
- Construct an equilateral triangle.
- Identify congruent segments in figures and explain why they are congruent.
Cool-Down: I’m Stuck In A Circle! Help!
Use straightedge and compass moves to create an equilateral triangle. Lightly shade the triangle to make it easier to see.
