Solve the problem.
-If the coordinates of one endpoint of a line segment are (4, 2)and the coordinates of the midpoint of the segment are (6, 2), what are the coordinates of the other endpoint?
A)(8, 2)
B)(2, 2)
C)(8, 0)
D)(2, 0)

Question

Quizplus · Accepted Answer

The midpoint formula is [(x1 + x2)/2, (y1 + y2)/2]. Given one endpoint (4, 2) and the midpoint (6, 2), we can find the other endpoint by setting up equations: (4 + x2)/2 = 6 and (2 + y2)/2 = 2. Solving these gives x2 = 8 and y2 = 2, so the other endpoint is (8, 2).

Solve the Problem. -If the Coordinates of One Endpoint of a Line Segment