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?

Which of these statements is correct? the system of linear equations 6x - 5y = 8 and 12x - 10y = 16 has no solution. the system of linear equations 7x + 2y = 6 and 14x + 4y = 16 has an infinite number of solutions. the system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution. the system of linear equations 9x + 6y = 14 and 18x + 12y = 26 has an infinite number of solutions.