More Things Under Construction
Equilateral triangle
Like a rhombus, an equilateral triangle has congruent sides. Locate the third vertex point on an equilateral triangle, given as one side of the equilateral triangle. Hint: Use the work we've done this week!
Creating a circumscribed hexagon
- Use the segment tool to sketch a diagram of a decomposition into six congruent triangles.
- Based on your sketch, mark a point as the center of the circle that would circumscribe the hexagon.
- Use a compass to draw the circle that would circumscribe the hexagon.
Construct a regular hexagon inside of the circle. Start by using the segment tool to create a diameter then using the compass tool to create the equilateral triangles.
Challenge
Modify your work with the hexagon to construct an equilateral triangle inscribed in the given circle.
Takeaways
Strategies for constructing geometric figures:
What can we do to construct geometric figures?