Question

A line segment has a midpoint of (3, 7/2). If one endpoint is (6,5), what is the other endpoint?

Answer 1

(0, 2)

Explanation:

When segment AB has midpoint M, the coordinates of M are ...

M = (A+B)/2

Solving for B, we find ...

2M = A+B

2M -A = B

Filling in the given values for the midpoint (M) and the one end (A), we have ...

B = 2(3, 7/2) -(6, 5) = (6 -6, 7 -5) = (0, 2)

The other endpoint of the segment is (0, 2).