1
QuizMultiple Choice

Directed Line Segments and Modeling

Question 1 • (A. Costello)WCA 5324 Geometry 1st Nine Weeks 26-27

The midpoint of MN is point P at (–4, 6). If point M is at (8, –2), what are the coordinates of point N?

Answer
A
(–16, 14)
B
(–10, 5)
C
(2, 2)
D
(6, 2)

Explanation

The midpoint coordinates are the averages of the endpoints, so N = (2P − M). For the x-coordinate, 2(−4) − 8 = −16; for the y-coordinate, 2(6) − (−2) = 14. Therefore, point N is (−16, 14), choice A.

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