Y is 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)
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!