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avatar+193 

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? 

 Nov 6, 2018
 #1
avatar+98172 
+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)  

 

 

 

cool cool cool

 Nov 6, 2018

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