The midpoint M of segment AB has coordinates given by what formula?

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Multiple Choice

The midpoint M of segment AB has coordinates given by what formula?

The midpoint is found by averaging the endpoints’ coordinates. If A has coordinates (x1, y1) and B has coordinates (x2, y2), the point exactly halfway between them is M = ((x1 + x2)/2, (y1 + y2)/2). This works because you need the x-value to be halfway from x1 to x2 and the y-value to be halfway from y1 to y2, so both coordinates are averaged. For a quick check, if A = (0, 0) and B = (6, 4), the midpoint is ((0 + 6)/2, (0 + 4)/2) = (3, 2). The other forms mix in subtraction or divide by 4, which would not place M midway on the segment. This averaged form is the correct one.

The midpoint is found by averaging the endpoints’ coordinates. If A has coordinates (x1, y1) and B has coordinates (x2, y2), the point exactly halfway between them is M = ((x1 + x2)/2, (y1 + y2)/2). This works because you need the x-value to be halfway from x1 to x2 and the y-value to be halfway from y1 to y2, so both coordinates are averaged. For a quick check, if A = (0, 0) and B = (6, 4), the midpoint is ((0 + 6)/2, (0 + 4)/2) = (3, 2). The other forms mix in subtraction or divide by 4, which would not place M midway on the segment. This averaged form is the correct one.

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