Question

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what are the steps used to construct a hexagon inscribed in a circle using a straightedge and a compass?
drag the choices to order them correctly
draw a point anywhere on the circle.
use the straightedge to connect consecutive vertices on the circle.
move the compass to the next intersection point and draw an arc. repeat until all 6 vertices are drawn.
use the compass to construct a circle.
place the point of the compass on the new point and draw an arc that intersects the circle, using the circle’s radius for the width opening of the compass. create a point at the intersection.

Explanation:

Constructing a regular hexagon inscribed in a circle starts with creating the circle, then marking vertices using the circle's radius (since a hexagon's side equals the circumradius), and finally connecting the vertices.

Answer:

1. Use the compass to construct a circle.
2. Draw a point anywhere on the circle.
3. Place the point of the compass on the new point and draw an arc that intersects the circle, using the circle’s radius for the width opening of the compass. Create a point at the intersection.
4. Move the compass to the next intersection point and draw an arc. Repeat until all 6 vertices are drawn.
5. Use the straightedge to connect consecutive vertices on the circle.