Question

The midpoint of segment AB has coordinates of (2,8). If the coordinates
of A are (10, 12), what are the coordinates of B?
O (6,10)
O (-6,4)
O (-8,-4)
O (18,16)

Answer 1

9514 1404 393

Answer:

  (-6, 4)

Step-by-step explanation:

We are given midpoint M such that ...

  M = (A +B)/2

Solving for B gives ...

  B = 2M -A

  B = 2(2, 8) -(10, 12) = (2·2 -10, 2·8 -12)

  B = (-6, 4)