Geometric ConstructionsStep 1: Construct a circle through three points not on a line.Points D, E, and F are not in a line. To construct a circle through points D, E, and F, begin bydrawing line segments and . Then construct the perpendicular bisectors ofand , and name thepoint of intersection of the perpendicular bisectors O. How do you know that point O is thecenter of the circle that passes through the three points? (10 points)
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Step 2: Construct regular polygons inscribed in a circle.While constructing an equilateral triangle or a regular hexagon inscribed in a circle, you mayhave noticed that several smaller equilateral triangles are formed, like PQR shown in the figurebelow. Explain why PQR is an equilateral triangle. (5 points)