# Which One of These is Not a Step Used When Constructing an Inscribed Hexagon Using the Circle Method?

September 11, 2023
David Sunnyside

This article addresses the question: Which one of these is not a step used when constructing an inscribed hexagon using the circle method? It is important to know how to construct polygons, especially the ones that are tessellate. There are many different methods of constructing polygons, but all of them are based on the same steps: using a straightedge and compass to draw segments that are congruent with each other.

To construct an inscribed hexagon using the circle method, first draw a horizontal line that is parallel to the base of the hexagon. Then, draw two diagonal lines moving outward from each end of the horizontal line. The lines should look like a mirror-image of each other. Draw another two diagonal lines that move inward from the bottom edges of the first lines, toward the space where the base will be. Then, connect all six points on the circle with their corresponding vertices of the hexagon.

Since the sides of a regular hexagon are all equal, the angles between each pair of opposite corners are also equal, giving the regular hexagon six reflectional symmetries and six lines of symmetry (also called stellations or dihedral groups) of order D6. The longest diagonals connecting diametrically opposite vertices of the hexagon are twice the length of one side, which gives the regular hexagon its six sides that equal each other and all have radius as their common length. David Sunnyside
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