Points D, E, and F are not in a line. To construct a circle through points D, E, and F, begin by drawing line segments DE and EF. Then construct the perpendicular bisectors of DE and EF, and name the point of intersection of the perpendicular bisectors O. How do you know that point O is the center of the circle that passes through the three points?

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05-12-2022
Mathematics

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Points D, E, and F are not in a line. To construct a circle through points D, E, and F, begin by drawing line segments DE and EF. Then construct the perpendicular bisectors of DE and EF, and name the point of intersection of the perpendicular bisectors O. How do you know that point O is the center of the circle that passes through the three points?

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