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}=(3-1)/(1-(-2))=(2)/(3) \\ \vec{RT}=(0-3)/(2-1)=-3 \\ \vec{TZ}=(-2-0)/(-1-2)=(2)/(3) \\ \vec{SZ}=(-2-1)/(-1-(-2))=-3 \\ \end{gathered}`

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