suppose the coordinate of 9 is 2, pq=8 and pr=12. what are the possible coordinates of the midpoint of the given segment qr
To find the coordinates of the midpoint of segment QR, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points, (x1, y1) and (x2, y2), are given by:
Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]
Given that the coordinate of point 9 is (2) and the length of PQ is 8, we can find the coordinates of point Q using the formula:
Q = (2 + 8, 0) = (10, 0)
Given that the length of PR is 12, we can find the coordinates of point R using the formula:
R = (2 + 12, 0) = (14, 0)
Now, we can find the midpoint of QR using the midpoint formula:
Midpoint = [(10 + 14) / 2, (0 + 0) / 2]
= [24 / 2, 0 / 2]
= [12, 0]
Therefore, the possible coordinates of the midpoint of segment QR are (12, 0).