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Find the coordinates of the 3 midpoints M 1 , M 2 , M 3 of the 3 sides.

Project of group 2 : Nine-Point Circle Given 3 points in the coordinate system: A(0, 0), B(4, 0), C(1, 3). Find the coordinates of the 3 midpoints M 1 , M 2 , M 3 of the 3 sides. Find the coordinates of 3 midpoints I 1 , I 2 , I 3 of segments IA, IB, IC (I is the orthocenter).

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Find the coordinates of the 3 midpoints M 1 , M 2 , M 3 of the 3 sides.

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  1. Project of group 2: Nine-Point CircleGiven 3 points in the coordinate system:A(0, 0), B(4, 0), C(1, 3). • Find the coordinates of the 3 midpoints M1, M2, M3 of the 3 sides. • Find the coordinates of 3 midpoints I1, I2, I3 of segments IA, IB, IC (I is the orthocenter). • Find the coordinates of the 3 feet F1, F2, F3. • Show that the 9 points are one the same circle. Find the center and radius of the circle. Write equation of this circle in center-radius form. C I3 F1 M2 M1 F2 I I2 I1 A B M3 F3

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