Question

a student began constructing a regular hexagon inscribed in a circle by drawing a circle with diameter mon. what is the next step in the construction? the student should construct two arcs that pass through the center of the circle – one with center at m and one with center at n. the student should construct one arc with center at o. the student should connect all four points of intersection and points m and n to form a regular hexagon. the student should mark the points where the arcs intersected the circle.

Explanation:

Constructing a regular inscribed hexagon requires using the circle's radius. After drawing the diameter MON (center O), the next step is to create arcs from endpoints M and N with radius equal to the circle's radius to locate additional vertices.

Answer:

The student should construct two arcs that pass through the center of the circle - one with center at M and one with center at N.