Question

Determine if S could lie on the perpendicular bisector of QR with the given coordinates

Answer 1

Step-by-step explanation

The question wants us to determine if point S lies on the perpendicular bisector of QR

To answer the question

We will find the midpoint of the line QR

The perpendicular bisector, which is the midpoint of the line QR will be

Q(-5,4) and R(8,-3)

`\begin{gathered} \text{Midpoint of QR=}(x_2+x_1)/(2),(y_2+y_1)/(2) \\ \text{Midpoint}=(-5+8)/(2),(4-3)/(2) \\ \text{Midpoint}=(3)/(2),(1)/(2) \\ \text{Midpoint}=1.5,0.5 \end{gathered}`

Midpoint QR is (1.5, 0.5)

The point S is (-2,-5)

We can observe that the coordinates of QR and S aren't the same, thus, point S doesn't lie on the perpendicular bisector