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1. A regular hexagon inscribed in a circle is the construction that requires both endpoints of the diameter and the points where the arcs intersect the circle to be connected, in order, by line segments. Option D. This is further explained below.

   What is a segment?

   Generally, any of the pieces into which something may be separated or which naturally separates over time. a section that is removed from a figure (such as a circle) using a line or plane as the cutting tool. a segment of a straight line that includes the territory between two points.

   In conclusion, For the construction of a regular hexagon that is inscribed inside a circle, it is necessary for the ends of the diameter as well as the locations at which the arcs meet the circle to be linked, in the correct sequence, by line segments.

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   Complete Question

   Which construction requires both endpoints of the diameter and the points where the arcs intersect the circle to be connected, in order, by line segments?

   • an equilateral triangle inscribed in a circle
   • a square inscribed in a circle
   • a similar circle inscribed in a circle
   • a regular hexagon inscribed in a circle

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