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Ernesto wrote the given steps and used them to try to construct a regular hexagon inscribed in circle O. Draw chord on circle O. Adjust a compass width to the length of . Center the compass on B and mark point C intersecting the circle. Center the compass on C and mark point D intersecting the circle. Center the compass on D and mark point E intersecting the circle. Draw segments connecting the points on the circle. Geometry construction shows pentagon ABCDE inscribed in a circle centered at O. Vertices A, B, C, D, and E lie on the circumference. Arcs are marked on points C, D, and E. What mistake did he make? The width of the compass should have been set to match the length of . Mark a point A on circle O. With the compass centered , another point should have been marked . This process should be repeated to mark more points on the circle, and then the points should be connected.

Sagot :

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