+0  
 
0
89
1
avatar

Segments AB and PQ share a midpoint. Point A is at (3, 2) and the endpoints of segment PQ are P(7, 9) and Q(9, 6). What is the sum of the coordinates of point B?

 Mar 22, 2021
 #1
avatar+121000 
+1

Midpoint of   PQ =  [  (9 + 7) / 2,  (6+ 9) /2 ] =  (8, 15/2)  = ( 8, 7.5)

 

Coordinates of  B =  (x, y)....so.....

 

(3 + x) / 2 =  8              (2 + y) / 2  = 7.5

3 + x = 8*2                     2 + y=   7.5*2

3 + x  =16                      2 + y= 15

x =  13                                y = 13

 

B = (13, 13)

 

cool cool cool

 Mar 22, 2021

16 Online Users

avatar
avatar
avatar