If (-1,3) is the midpoint of segment PQ and the coordinates of P are (-3,-5) , find the coordinates of Q.
A) (-2,-1)
B) (-1,-11)
C) (1,11)
D) (-5,1)

Question

Quizplus · Accepted Answer

Using the midpoint formula, we have:

Midpoint = ((x1+x2)/2, (y1+y2)/2)

Substituting the values given in the question:

(-1,3) = ((-3+x2)/2, (-5+y2)/2)

Simplifying:

-2 = -3 + x2
x2 = -2+3
x2 = 1

8 = -5 + y2
y2 = 8+5
y2 = 13

So the coordinates of Q are (1, 13).

Therefore, the best choice is C.

If (-1,3) Is the Midpoint of Segment PQ and the Coordinates