Final answer:
The midpoint of the segment with endpoints (10, 7) and (2, 1) is calculated by averaging the endpoints' coordinates, resulting in the midpoint (6, 4), which is answer choice A.
Step-by-step explanation:
The midpoint of a segment with endpoints (10, 7) and (2, 1) is found by averaging the x-coordinates and the y-coordinates of the endpoints. To find the x-coordinate of the midpoint, add the x-coordinates of the endpoints and divide by 2. To find the y-coordinate, do the same for the y-coordinates.
Midpoint (x-coordinate): (10 + 2) / 2 = 12 / 2 = 6
Midpoint (y-coordinate): (7 + 1) / 2 = 8 / 2 = 4
Therefore, the midpoint of the segment is (6, 4), which corresponds to answer choice A.