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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula,and solve the two equations for x and y.)midpoint (3,20), endpoint (10,13)The other endpoint is ___.(Type an ordered pair.)

Respuesta :

The midpoint is (3,20) and the other endpoint is (10,13);

Since the midpoint formula is;

[tex](x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Thus;

[tex]\begin{gathered} x_m=\frac{x_1+x_2}{2} \\ 3=\frac{x_1+10}{2} \\ x_1+10=6 \\ x_1=-4 \end{gathered}[/tex]

and;

[tex]\begin{gathered} y_m=\frac{y_1+y_2}{2} \\ 20=\frac{y_1+13}{2} \\ y_1+13=40 \\ y_1=27 \end{gathered}[/tex]

Thus, the other endpoint is;

[tex](-4,27)[/tex]