Suppose that p is the endpoint of a segment pq and m is the midpoint of pq. find the coordinates of endpoint q.
2) p(3,9), m 2,8
a) 4,16)
b) c(2,2)
c)c(8,2)
d) q(1,7)

D

Step-by-step explanation:

Using the midpoint formula to find the coordinates of Q

let the coordinates of Q = (x, y ), then

0.5(3 + x) = 2 ← equate to x- coordinate of M

Multiply both sides by 2

3 + x = 4 ( subtract 3 from both sides )

x = 1

and

0.5(9 + y) = 8 ← equate to y- coordinate of M

Multiply both sides by 2

9 + y = 16 ( subtract 9 from both sides )

y = 7

Thus the coordinates of Q are (1, 7 ) → D