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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)

Respuesta :

Answer:

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

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