Yis the midpoint of segment xz. the coordinates of x are (2, 4) and of y are (-1, 1). find the coordinates of z.

Given x(x1,y1)=(2,4)
          z(x2,y2)=(x2,y2)
         midpoint (x,y)=(-1,1)
2+x2/2=-1;4+y2/2=1
2+x2=-2;4+y2=2
x2=-4;y2=-2
z(x2,y2)=(-4,-2)

The solution to the problem is as follows:

X(2,4); Y(-1,1). Z(a,b). Y is the midpoint of XZ 

(2+a)/2=-1 
2+a=-2 
a=-4 
(4+b)/2=1 
4+b=2 
b=-2 

Then Z is (-4,-2) 

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answer:
congruent segments
step-by-step explanation:
congruent segments. take a line, cut it in half, superipose one half over the other half; you'll have congruence.

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