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)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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)
Source: Myschool Past Questions Archive (Record #29452)