Find the coordinates of the midpoint of the segment AB if A (6; 5) B (3; 6).

The midpoint of a line is a point that lies on the line and is equidistant from the endpoints.

The formula for calculating the coordinates of the midpoint of a segment with ends A (xa, ya) and B (xb, yb) on the plane:

xc = (xa + xb) / 2; yc = (ya + yb) / 2.

Substitute the coordinates of points A and B into the formula:

ABx = (6 + 3) / 2 = 9/2 = 4.5; ABy = (5 + 6) / 2 = 11/2 = 5.5.

The coordinates of the midpoint of the segment for points B (6; 5) and C (3; 6) are AB (4.5; 5.5).

Answer: the middle of the segment AB (4.5; 5.5).