Use the given endpoint Y and midpoint M of YZ to find the coordinates of the other endpoint Z

Question

#1. Y(0,5) M(3,3) 

 

 

#2. Y(-1,-3) M(5,9)

Answer 1

1) Y (0,5)  and M (3,3)

 

let the coordinates of point Z be (x',y')  

 

Mid point of two points with coordinates (x1,y1) and (x2,y2) will be =( (x1+x2)/2 , (y1+y2)/2 )

 

    So                           M (3,3)   = ( ( 0+x')/2 , (5+y')/2 )

  and equating x-coordinates and y coordinates on both side separately we get,

                

      3= x'/2            and         3 = (5+y')/2

  3*2 = x'              and      3*2 = 5+y'

    6   = x'             and          6 = 5+y'

                                         6-5= y'

                                           1 = y'

 

 

So coordinates of M = (x',y') = (6,1)

 

In similar way solve for the next part..