Question

determine whether QR and ST are parallel, perpendicular, or neither. and show you got the answer.

Answer 1

The slope of QR is,

$\begin{gathered} m_{QR}=\frac{10-2}{9-(-5)} \\ =\frac{8}{14} \\ =\frac{4}{7} \end{gathered}$

The slope of ST is,

$\begin{gathered} m_{ST}=\frac{-8-(-1)}{-2-2} \\ =\frac{-7}{4} \end{gathered}$

Thus,

$\begin{gathered} m_{QR}\times m_{ST}=\frac{4}{7}\times\frac{-7}{4} \\ =-1 \end{gathered}$

As the product of slope is -1 QR and ST are perpendicular.