Question

The midpoint of PQ is (–6, –3). One endpoint of PQ is P(–1, –4). What are the coordinates of Q? A. Q(–11, –2) B. Q(–3.5, –3.5) C. Q(2, 11) D. Q(11, 2)

Answer 1

The coordinates of the midpoint of the line segment is the average of the coordinates of both end points. For this example above, let (x, y) be the coordinates of point Q. 

                     (abscissa)   -6 = (-1 + x) / 2       ; x = -11
                     (ordinate)    -3 = (-4 + y) / 2       ; y = -2

Therefore, the coordinates of point Q is (-11, -2). The answer is letter A.