Answer: [tex]Missing\ endpoint:\ (4,3)[/tex]
Step-by-step explanation:
The formula to find the x-coordinate of a Midpoint, is:
[tex]x=\frac{x_1+x_2}{2}[/tex]
And formula to find the y-coordinate of a Midpoint, is:
[tex]y=\frac{y_1+y_2}{2}[/tex]
Given the Endpoint (2,5) and the Midpoint (3,4), we can idenfity that:
[tex]x=3\\x_1=2\\\\y=4\\y_1=5[/tex]
Therefore, in order to find the x-coordinate of the missing endpoint, we can substitute values into the formula [tex]x=\frac{x_1+x_2}{2}[/tex] and solve for [tex]x_2[/tex]:
[tex]3=\frac{2+x_2}{2}\\\\3*2=2+x_2\\\\6-2=x_2\\\\x_2=4[/tex]
To find the y-coordinate of the missing endpoint, we can substitute values into the formula [tex]y=\frac{y_1+y_2}{2}[/tex] and solve for [tex]y_2[/tex]:
[tex]4=\frac{5+y_2}{2}\\\\4*2=5+y_2\\\\8-5=y_2\\\\y_2=3[/tex]
Therefore, the missing endpoint is:
[tex]Missing\ endpoint:\ (4,3)[/tex]
