Find the coordinates of the midpoint of a segment having the given endpoints.
Q(1, -3), R(11, 5)
To find the coordinates of the midpoint of a segment with given endpoints, you can use the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Given endpoints: Q(1, -3) and R(11, 5)
For the x-coordinate of the midpoint:
- Plug in the x-coordinate of point Q (x1 = 1) and x-coordinate of point R (x2 = 11) into the formula: ((x1 + x2)/2)
- ((1 + 11)/2) = 12/2 = 6
For the y-coordinate of the midpoint:
- Plug in the y-coordinate of point Q (y1 = -3) and y-coordinate of point R (y2 = 5) into the formula: ((y1 + y2)/2)
- ((-3 + 5)/2) = 2/2 = 1
Therefore, the coordinates of the midpoint of segment QR are (6, 1).