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?

Maplesnowy Nov 6, 2018

#1**+2 **

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)

CPhill Nov 6, 2018