Question

use the given vertices to determine whether the figure is a parallelogram justify your answer with the methods indicated

Answer 1

$\begin{gathered} S(-2,1),R(1,3),T(2,0),Z(-1,-2) \\ \vec{SR}=\frac{3-1}{1-(-2)}=\frac{2}{3} \\ \vec{RT}=\frac{0-3}{2-1}=-3 \\ \vec{TZ}=\frac{-2-0}{-1-2}=\frac{2}{3} \\ \vec{SZ}=\frac{-2-1}{-1-(-2)}=-3 \\ \end{gathered}$

Since the slope of RT is equals to SZ , SRTZ is a parallelogram.