Question

The midpoint of AB is M(-2,1). If the coordinates of A aree (1, -2), what are thecoordinates of B?

Answer 1

To find the coordinates of B, we need to use the following equation:

Let A = (x1,y,), and M = (x,y)

$B=(2x-x_1,2y-y_1)$

Plug in the values of points A and M

$B=(\lbrack2(-2)-(1)\rbrack,\lbrack2(1)-(-2)\rbrack)$$B=(\lbrack-4-1\rbrack,4)$$B=(-5,4)$

Therefore, the coordinates of point B are (-5,4).