The ends of the segment CD have coordinates C (-4; 3) and D (4; -3). Find the coordinates

The ends of the segment CD have coordinates C (-4; 3) and D (4; -3). Find the coordinates of point M – the midpoint of this segment.

The abscissa xm of point M, which is the midpoint of the segment CD, is equal to the half-sum of the abscissas of the ends of this segment – points C and D, and the ordinate mind of point M is equal to the half-sum of the ordinates of points C and D.

In the initial data for this task, it is reported that point C has coordinates (-4; 3), and point D has coordinates (4; -3).

Knowing these coordinates, we can find the coordinates of the point M:

xm = (-4 + 4) / 2 = 0/2 = 0;

mind = (3 + (-3)) / 2 = (3 – 3) / 2 = 0/2 = 0.

Consequently, the point M has coordinates (0; 0).

Answer: point M has coordinates (0; 0).



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