Final answer:
The midpoint of the line segment joining points R(x1, y1) and S(x2, y2) is calculated using the formula ((x1 + x2)/2, (y1 + y2)/2), which corresponds to option a).
Step-by-step explanation:
To find the midpoint of the line segment joining the points R(x1, y1) and S(x2, y2), you need to calculate the average of the x-coordinates and the y-coordinates of the two points. The formula for the midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2). Therefore, the correct option is a) ((x1 + x2)/2, (y1 + y2)/2).
To apply this, you simply add the x-coordinates of the two endpoints of the segment and divide by 2 to find the x-coordinate of the midpoint. Similarly, add the y-coordinates of the endpoints of the segment and divide by 2 to find the y-coordinate of the midpoint.