Question

One endpoint of a line segment is at (2, 4). The line is bisected by placing the midpoint of the line segment at (7, 8). What are the coordinates of the other endpoint?

A.(12, 12)
B.(9, 12)
C.(−4, −1)
D.(−3, 0)

Answer 1

The coordinates of the other endpoint are (12, 12).

Step-by-step explanation:

The midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the endpoints. In this case, the x-coordinate of the midpoint is 7, which is the average of 2 and the x-coordinate of the other endpoint. To find the x-coordinate of the other endpoint, we can set up the equation:

(2 + x) / 2 = 7

Solving for x, we find x = 12. The y-coordinate of the midpoint is 8, which is the average of 4 and the y-coordinate of the other endpoint. To find the y-coordinate of the other endpoint, we can set up the equation:

(4 + y) / 2 = 8

Solving for y, we find y = 12. Therefore, the coordinates of the other endpoint are (12, 12), which corresponds to option A.