M is the midpoint of
¯¯¯¯¯
R
S
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 can use the midpoint formula.
The midpoint formula states that the midpoint M(x, y) of a line segment with endpoints R(x1, y1) and S(x2, y2) is given by:
x = (x1 + x2)/2 and y = (y1 + y2)/2
In this case, we are given the coordinates of R (2, 5) and M (6, 9). Using the midpoint formula, we can solve for the coordinates of S as follows:
x = (2 + x2)/2
6 = 2 + x2
x2 = 6 - 2
x2 = 4
y = (5 + y2)/2
9 = 5 + y2
y2 = 9 - 5
y2 = 4
Therefore, the coordinates of S are (4, 4).
The correct answer is B. (4, 4).