Question

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

Answer 1

Answer: parallel

Explanation:

Answer 2

The slope of QR is,

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

The slope of ST is,

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

Thus,

`\begin{gathered} m_(QR)* m_(ST)=(4)/(7)*(-7)/(4) \\ =-1 \end{gathered}`

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