So here's the problem.
line DA is the perp bisector of segment RW. D= (2,x) , R = (-x,-3), and W = (6, x-3). Find the coordinates of D.
So basically I assumed that they intercept at the origin and got D= (2,3).
Is this right?
I guess we have something like this situation (??? )
A
R D W
R = ( -x , - 3 ) W = ( 6, x - 3)
Midpoint of RW = ( (6 - x) / 2 , ( x - 3 - 3) / 2 ] = [ (6 - x) / 2 , (x - 6) / 2 ]
So,...since D = ( 2 , x) = the midpoint
We have
(6 - x) / 2 = 2 ⇒ 6 - x = 4 ⇒ x = 2
So...R = ( -2, - 3)
And
(x - 6) / 2 = x ⇒ x - 6 = 2x ⇒ -6 = x ⇒ x = - 6
So....W = ( 6, - 9)
So R = ( -2, -3) W = ( 6, -9) and D = (2, - 6)