The midpoint of P(x, y) and Q(8, 6) is (5, 8). Find x and y.
-
A.
(2, 10) -
B.
(2, 8) -
C.
(2, 12) -
D.
(2, 6)
Correct Answer: Option A
Explanation
P(x, y) Q(8, 6)
midpoint = (5, 8)
x + 8 = 5
(frac{y + 6}{2}) = 8
x + 8 = 10
x = 10 – 8 = 2
y + 6 = 16
y + 16 – 6 = 10
therefore, P(2, 10)