The mid point of the line segment PQ is (5, 1). If P is (8, 4) find thecoordinate of Q.

SOLUTION:

We know that the midpoint of a line segment AB with A(x, y) and B (u, v) is
Let the coordinate of Q be(x, y). The midpoint of diagonal PQ is

Â
⇒ 8 + x = 10 and 4 + y = 2. Thus x = 2, y = -2.
Hence the point Q is (2, -2).