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Larissa wants to inscribe a regular hexagon in a circle using only a compass and straightedge. She will construct a circle and finds its center. She will then perform the following steps.

  • one year ago
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    Step 1: Plot a point on the circle to represent a vertex of the hexagon. Place the compass on this point and draw an arc to cut the circle. This represents the next vertex of the hexagon. Step 2: Without adjusting the width of the compass, place the compass on this vertex and draw an arc to create the next vertex. Step 3: Repeat the process to get a total of 6 vertices. Step 4: Draw a line between successive pairs of vertices to form the regular hexagon. What is the error in Larissa’s construction? She did not change the width of the compass when constructing the different vertices. She did not set the width of the compass to the radius of the circle. She did not set the width of the compass to the diameter of the circle. She did not construct two perpendicular bisectors to construct two diameter of the circle.

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