Performance Task: Circle ConstructionsStep 1: Construct a circle through three points not on a line.a)Points D, E, and F are not in a line. To construct a circle through points D, E, andF, begin by drawing line segments and . Then construct the perpendicularbisectors of and , and name the point of intersection of the perpendicularbisectors O. How do you know that point O is the center of the circle that passesthrough the three points?Step 2: Construct regular polygons inscribed in a circle.a)While constructing an equilateral triangle or a regular hexagon inscribed in acircle, you may have noticed that several smaller equilateral triangles are formed,like PQR shown in the figure below. Explain why PQR is an equilateral triangle.● Give: Two Circles with Centers p and Q.● To explain: why ΔPQR is Equilateral triangle
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