Answer:
B. [tex](1,-2)[/tex]
Step-by-step explanation:
We have been given that coordinates of quadrilateral FGHJ are F(-5, -3), G(-3, 3), H(3, 5), and J(7, -1). We are asked to find the coordinates of mid-point of segment FJ.
We will use mid-point formula to solve our given problem.
[tex]\text{Mid-point}=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]
Upon substituting the coordinates of points F and J in mid-point formula we will get,
[tex]\text{Mid-point}=\frac{-5+7}{2},\frac{-3+-1}{2}[/tex]
[tex]\text{Mid-point}=\frac{2}{2},\frac{-4}{2}[/tex]
[tex]\text{Mid-point}=1,-2[/tex]
Therefore, the coordinates of mid-point of segment FJ are [tex](1,-2)[/tex] and option B is the correct choice.
