Question

What are the coordinates of the other endpoint of a segment if one endpoint is located at (1, -8) and the midpoint of the segment is (6, -1)?

A. (11, 4)
B. (13, 6)
C. (3.5, -4.5)
D. (11, 6)

Answer 1

The coordinates of the other endpoint of the segment are (11, 6).

Step-by-step explanation:

To find the coordinates of the other endpoint of a segment, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

Given that one endpoint is located at (1, -8) and the midpoint is (6, -1), we can use the formula to calculate the x-coordinate of the other endpoint:

x-coordinate = 2 * midpoint x-coordinate - first endpoint x-coordinate = 2 * 6 - 1 = 11

We can then calculate the y-coordinate of the other endpoint:

y-coordinate = 2 * midpoint y-coordinate - first endpoint y-coordinate = 2 * -1 - (-8) = 6

Therefore, the coordinates of the other endpoint are (11, 6), so the correct answer is D. (11, 6).