Final answer:
The midpoint of the line segment connecting the points (2,5) and (4,7) is (3,6).
Step-by-step explanation:
The midpoint of a line segment is the point that is exactly halfway between the two given points. To find the midpoint, we use the formula:To find the midpoint of the line segment connecting two points, you use the midpoint formula: ( ((x1 + x2) / 2), ((y1 + y2) / 2) ). For the given points (2,5) and (4,7), the midpoint is ( (2 + 4) / 2, (5 + 7) / 2 ),
Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]
Given the points (2,5) and (4,7), we can use the formula to find the midpoint:
Midpoint = [(2 + 4) / 2, (5 + 7) / 2] = (3,6)
Therefore, the midpoint of the line segment connecting the two points is (3,6), which corresponds to option A).