Jaira is completing a construction of a regular hexagon inscribed in a circle as shown below. What should be the next step in her construction?

Question

anonymous · Answer

Construct a line perpendicular to the line AB to create four congruent quadrants.

 Draw another circle from point B with the same radius as her original circle.

 Construct another point E by placing her compass at point D.

 Draw arcs above and below line AB to show where the angles angles meet.

directrix · Answer

@slumberousteenager

I assume from the drawing that the first arc Jaira drew from point B to point C had length AB, the radius of the circle. She can continue this process for a total of 6 times to get the vertices of the regular hexagon.

So, what do you think will be the next step? Post what you think and we will compare answers, okay?