Answer :
Answer:
[tex](2x_m - x_1 , 2y_m -y_1)[/tex]
Step-by-step explanation:
Let [tex](x,y)[/tex] be the unknown endpoint.
Denote the one endpoint by [tex](x_1, y_1)[/tex] and the midpoint by [tex](x_m, y_m)[/tex].
As the midpoint divides the segment in [tex]1:1[/tex] ratio, so, from section formula
[tex]x_m=\frac{x_1+x}{2} \Rightarrow x=2x_m-x_1.[/tex]
and [tex]y_m=\frac{y_1+x}{2} \Rightarrow y=2x_m-y_1.[/tex]
Hence, the coordinate of the other endpoint is [tex](x,y)=(2x_m - x_1 , 2y_m -y_1)[/tex].