Answer :
hello
we need to find if AB and CD are parallel or perpendiular. to do this, we compare slopes
now we should find slope of AB
[tex]\begin{gathered} \text{slope of AB=}\frac{y_2-y_1}{x_2-x_1} \\ y_2=-11 \\ y_1=5 \\ x_2=6 \\ x_1=2 \\ AB=\frac{-11-5}{6-2} \\ AB=\frac{-16}{4} \\ AB=-4 \end{gathered}[/tex]slope of CD
[tex]\begin{gathered} CD=\frac{y_2-y_1}{x_2-x_1} \\ y_2=14 \\ y_1=10 \\ x_2=2 \\ x_1=3 \\ CD=\frac{14-10}{2-3} \\ CD=\frac{4}{-1} \\ CD=-4 \end{gathered}[/tex]since both slopes are equal, then the lines must be parallel to each other.
you can also use a graph to solve this
