Question

The midpoint of a segment is (4,3) and one endpoint is (10,8). Find the coordinates of the other endpoint.

Answer 1

9514 1404 393

Answer:

(-2, -2)

Explanation:

The midpoint M is calculated from end points A and B as ...

M = (A +B)/2

Solving for end point B, we get ...

2M = A +B . . . . . . multiply by 2

B = 2M -A . . . . . . subtract A

Then the other end point is ...

B = 2(4, 3) -(10, 8) = (2·4 -10, 2·3 -8) = (8-10, 6-8)

B = (-2, -2)

The other end point has coordinates (-2, -2).