Question

Find the midpoint of the line segment joining the points R(x1, y1) and S(x2, y2).

a) ((x1 + x2)/2, (y1 + y2)/2)
b) ((x1 - x2)/2, (y1 - y2)/2)
c) ((x1 + y1)/2, (x2 + y2)/2)
d) ((y1 - y2)/2, (x1 - x2)/2

Answer 1

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.