M is the midpoint of RS and R has coordinates (2, 5). M has coordinates (6, 9). Find the coordinates of S.
A.
(16, 16)
B.
(4, 4)
C.
(10, 13)
D.
(4.5, 6.5)
To find the coordinates of S, we need to determine the displacement from M to S and then add it to the coordinates of M.
The displacement from M to S is the same as the displacement from R to M, since M is the midpoint of RS. We can determine this displacement by subtracting the coordinates of R from the coordinates of M:
Displacement from R to M = (6, 9) - (2, 5) = (4, 4).
To find the coordinates of S, we add this displacement to the coordinates of M:
Coordinates of S = (6, 9) + (4, 4) = (10, 13).
Therefore, the coordinates of S are (10, 13).
The correct answer is C. (10, 13).