Question

Points B and B' have symmetry with respect to P. Find the coordinates of P when B is (2, 8) and B' is (2, 2).

Answer 1

Answer is (2,5).

We only consider the y-axis in our solution because the x-axis is constant at 2.

8-2 = 6 yields the distance between the two points on the y-axis. Half of this distance is at y = 5 because 'symmetry' implies equal distance to line from point B and B'.