Given the coordinates of one endpoint of line segment AB and its midpoint M, find the coordinates of the other endpoint.

A(0,9), M(2,5)

2 answers

Changes from A to M will be the same as the changes from M to B.

The x coordinate of B will be 2 + 2 = 4 and the y coordinate will be 5 - 4 = 1.

Write that as B(4,1)
The midpoint of
PQ
is
=M, 1−5
. One endpoint is
=P, −3−8
.
Find the coordinates of the other endpoint,
Q